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76370868 = 223271717827
BaseRepresentation
bin1001000110101…
…01001110110100
312022201001010200
410203111032310
5124022331433
611324520500
71615066410
oct443251664
9168631120
1076370868
113a122622
12216b0130
1312a8c582
14a1ddd40
156a88613
hex48d53b4

76370868 has 72 divisors (see below), whose sum is σ = 233618112. Its totient is φ = 20535552.

The previous prime is 76370867. The next prime is 76370893. The reversal of 76370868 is 86807367.

76370868 is a `hidden beast` number, since 7 + 637 + 0 + 8 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76370863) 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 23 ways as a sum of consecutive naturals, for example, 4630 + ... + 13197.

It is an arithmetic number, because the mean of its divisors is an integer number (3244696).

Almost surely, 276370868 is an apocalyptic number.

It is an amenable number.

76370868 is an abundant number, since it is smaller than the sum of its proper divisors (157247244).

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

76370868 is a wasteful number, since it uses less digits than its factorization.

76370868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17861 (or 17856 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76370868 is about 8739.0427393394. The cubic root of 76370868 is about 424.2702457180.

It can be divided in two parts, 763 and 70868, that added together give a triangular number (71631 = T378).

The spelling of 76370868 in words is "seventy-six million, three hundred seventy thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 17827 35654 53481 71308 106962 124789 160443 213924 249578 303059 320886 374367 499156 606118 641772 748734 909177 1123101 1212236 1497468 1818354 2121413 2246202 2727531 3636708 4242826 4492404 5455062 6364239 8485652 10910124 12728478 19092717 25456956 38185434 76370868