Search a number
-
+
1013371764 = 2231922231049
BaseRepresentation
bin111100011001101…
…101001101110100
32121121211121201120
4330121231031310
54033410344024
6244320023540
734053342426
oct7431551564
92547747646
101013371764
11480027229
12243461bb0
13131c3c682
149882c816
155de73479
hex3c66d374

1013371764 has 72 divisors (see below), whose sum is σ = 2509113600. Its totient is φ = 318273408.

The previous prime is 1013371757. The next prime is 1013371813. The reversal of 1013371764 is 4671733101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965512 + ... + 966560.

It is an arithmetic number, because the mean of its divisors is an integer number (34848800).

Almost surely, 21013371764 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 1013371764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254556800).

1013371764 is an abundant number, since it is smaller than the sum of its proper divisors (1495741836).

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

1013371764 is a wasteful number, since it uses less digits than its factorization.

1013371764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1013371764 is about 31833.5006557557. The cubic root of 1013371764 is about 1004.4375338326.

The spelling of 1013371764 in words is "one billion, thirteen million, three hundred seventy-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 223 228 361 446 669 722 892 1049 1083 1338 1444 2098 2166 2676 3147 4196 4237 4332 6294 8474 12588 12711 16948 19931 25422 39862 50844 59793 79724 80503 119586 161006 233927 239172 241509 322012 378689 467854 483018 701781 757378 935708 966036 1136067 1403562 1514756 2272134 2807124 4444613 4544268 8889226 13333839 17778452 26667678 53335356 84447647 168895294 253342941 337790588 506685882 1013371764