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76976130 = 23571147709
BaseRepresentation
bin1001001011010…
…01000000000010
312100211210101210
410211221000002
5124201214010
611345510550
71623200130
oct445510002
9170753353
1076976130
113a4a6340
1221942456
1312c41c0a
14a31a750
156b57b20
hex4969002

76976130 has 128 divisors (see below), whose sum is σ = 235560960. Its totient is φ = 15632640.

The previous prime is 76976129. The next prime is 76976143. The reversal of 76976130 is 3167967.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108216 + ... + 108924.

It is an arithmetic number, because the mean of its divisors is an integer number (1840320).

Almost surely, 276976130 is an apocalyptic number.

76976130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76976130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117780480).

76976130 is an abundant number, since it is smaller than the sum of its proper divisors (158584830).

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

76976130 is a wasteful number, since it uses less digits than its factorization.

76976130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784.

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 76976130 is about 8773.6041624865. The cubic root of 76976130 is about 425.3881206524.

The spelling of 76976130 in words is "seventy-six million, nine hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 709 770 987 1034 1155 1410 1418 1551 1645 1974 2127 2310 2585 3102 3290 3545 3619 4254 4935 4963 5170 7090 7238 7755 7799 9870 9926 10635 10857 14889 15510 15598 18095 21270 21714 23397 24815 29778 33323 36190 38995 46794 49630 54285 54593 66646 74445 77990 99969 108570 109186 116985 148890 163779 166615 199938 233261 233970 272965 327558 333230 366553 466522 499845 545930 699783 733106 818895 999690 1099659 1166305 1399566 1637790 1832765 2199318 2332610 2565871 3498915 3665530 5131742 5498295 6997830 7697613 10996590 12829355 15395226 25658710 38488065 76976130