Search a number
-
+
1376475984 = 243313832953
BaseRepresentation
bin101001000001011…
…0101101101010000
310112221002020002000
41102002311231100
510304334212414
6344330354000
746052565342
oct12202655520
93487066060
101376475984
11646a91864
12324b8b900
1318c233340
14d0b4b292
1580c99b09
hex520b5b50

1376475984 has 160 divisors (see below), whose sum is σ = 4307640960. Its totient is φ = 418286592.

The previous prime is 1376475983. The next prime is 1376476019. The reversal of 1376475984 is 4895746731.

1376475984 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 47 + 598 + 4 = 666.

It is a super-2 number, since 2×13764759842 = 3789372269057536512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1376475984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376475983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464652 + ... + 467604.

It is an arithmetic number, because the mean of its divisors is an integer number (26922756).

Almost surely, 21376475984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376475984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153820480).

1376475984 is an abundant number, since it is smaller than the sum of its proper divisors (2931164976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1376475984 is a wasteful number, since it uses less digits than its factorization.

1376475984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 1376475984 is about 37100.8892615797. The cubic root of 1376475984 is about 1112.3877889432.

The spelling of 1376475984 in words is "one billion, three hundred seventy-six million, four hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 83 104 108 117 144 156 166 208 216 234 249 312 332 351 432 468 498 624 664 702 747 936 996 1079 1328 1404 1494 1872 1992 2158 2241 2808 2953 2988 3237 3984 4316 4482 5616 5906 5976 6474 8632 8859 8964 9711 11812 11952 12948 17264 17718 17928 19422 23624 25896 26577 29133 35436 35856 38389 38844 47248 51792 53154 58266 70872 76778 77688 79731 106308 115167 116532 141744 153556 155376 159462 212616 230334 233064 245099 307112 318924 345501 425232 460668 466128 490198 614224 637848 691002 735297 921336 980396 1036503 1275696 1382004 1470594 1842672 1960792 2073006 2205891 2764008 2941188 3186287 3921584 4146012 4411782 5528016 5882376 6372574 6617673 8292024 8823564 9558861 11764752 12745148 13235346 16584048 17647128 19117722 25490296 26470692 28676583 35294256 38235444 50980592 52941384 57353166 76470888 86029749 105882768 114706332 152941776 172059498 229412664 344118996 458825328 688237992 1376475984