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76380516 = 22332397317
BaseRepresentation
bin1001000110101…
…11100101100100
312022201112101000
410203113211210
5124023134031
611325033300
71615136502
oct443274544
9168645330
1076380516
113a1298a3
12216b5830
1312a93a94
14a203672
156a8b3e6
hex48d7964

76380516 has 96 divisors (see below), whose sum is σ = 209422080. Its totient is φ = 24026112.

The previous prime is 76380503. The next prime is 76380517. The reversal of 76380516 is 61508367.

76380516 is a `hidden beast` number, since 7 + 63 + 80 + 516 = 666.

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 (76380517) 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, 240790 + ... + 241106.

It is an arithmetic number, because the mean of its divisors is an integer number (2181480).

Almost surely, 276380516 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 76380516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104711040).

76380516 is an abundant number, since it is smaller than the sum of its proper divisors (133041564).

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

76380516 is a wasteful number, since it uses less digits than its factorization.

76380516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 76380516 is about 8739.5947274459. The cubic root of 76380516 is about 424.2881111121.

The spelling of 76380516 in words is "seventy-six million, three hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 97 108 138 194 207 276 291 317 388 414 582 621 634 828 873 951 1164 1242 1268 1746 1902 2231 2484 2619 2853 3492 3804 4462 5238 5706 6693 7291 8559 8924 10476 11412 13386 14582 17118 20079 21873 26772 29164 30749 34236 40158 43746 60237 61498 65619 80316 87492 92247 120474 122996 131238 184494 196857 240948 262476 276741 368988 393714 553482 707227 787428 830223 1106964 1414454 1660446 2121681 2828908 3320892 4243362 6365043 8486724 12730086 19095129 25460172 38190258 76380516