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1376380080 = 24335643991
BaseRepresentation
bin101001000001001…
…1110010010110000
310112220220100112000
41102002132102300
510304323130310
6344324334000
746052015625
oct12202362260
93486810460
101376380080
11646a267a9
12324b44300
1318c1cb7aa
14d0b2434c
1580c7b4c0
hex5209e4b0

1376380080 has 160 divisors (see below), whose sum is σ = 4753029120. Its totient is φ = 366094080.

The previous prime is 1376380073. The next prime is 1376380087. The reversal of 1376380080 is 800836731.

1376380080 is a `hidden beast` number, since 13 + 7 + 638 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1376380073) and next prime (1376380087).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1376380087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388385 + ... + 1389375.

It is an arithmetic number, because the mean of its divisors is an integer number (29706432).

Almost surely, 21376380080 is an apocalyptic number.

1376380080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376514560).

1376380080 is an abundant number, since it is smaller than the sum of its proper divisors (3376649040).

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

1376380080 is a wasteful number, since it uses less digits than its factorization.

1376380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1376380080 is about 37099.5967633073. The cubic root of 1376380080 is about 1112.3619536659.

The spelling of 1376380080 in words is "one billion, three hundred seventy-six million, three hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 643 720 991 1080 1286 1929 1982 2160 2572 2973 3215 3858 3964 4955 5144 5787 5946 6430 7716 7928 8919 9645 9910 10288 11574 11892 12860 14865 15432 15856 17361 17838 19290 19820 23148 23784 25720 26757 28935 29730 30864 34722 35676 38580 39640 44595 46296 47568 51440 53514 57870 59460 69444 71352 77160 79280 86805 89190 92592 107028 115740 118920 133785 138888 142704 154320 173610 178380 214056 231480 237840 267570 277776 347220 356760 428112 462960 535140 637213 694440 713520 1070280 1274426 1388880 1911639 2140560 2548852 3186065 3823278 5097704 5734917 6372130 7646556 9558195 10195408 11469834 12744260 15293112 17204751 19116390 22939668 25488520 28674585 30586224 34409502 38232780 45879336 50977040 57349170 68819004 76465560 86023755 91758672 114698340 137638008 152931120 172047510 229396680 275276016 344095020 458793360 688190040 1376380080