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76266720 = 2532552963
BaseRepresentation
bin1001000101110…
…11110011100000
312022111202021100
410202323303200
5124011013340
611322354400
71614153645
oct442736340
9168452240
1076266720
113a061352
122165ba00
1312a5404a
14a1b3dcc
156a67830
hex48bbce0

76266720 has 72 divisors (see below), whose sum is σ = 260265096. Its totient is φ = 20337408.

The previous prime is 76266719. The next prime is 76266733. The reversal of 76266720 is 2766267.

76266720 is a `hidden beast` number, since 7 + 626 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×762667202 = 11633225159116800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25042 + ... + 27921.

It is an arithmetic number, because the mean of its divisors is an integer number (3614793).

Almost surely, 276266720 is an apocalyptic number.

It is an amenable number.

76266720 is an abundant number, since it is smaller than the sum of its proper divisors (183998376).

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

76266720 is a wasteful number, since it uses less digits than its factorization.

76266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52984 (or 52973 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76266720 is about 8733.0819302237. The cubic root of 76266720 is about 424.0772969317.

The spelling of 76266720 in words is "seventy-six million, two hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 52963 105926 158889 211852 264815 317778 423704 476667 529630 635556 794445 847408 953334 1059260 1271112 1588890 1694816 1906668 2118520 2383335 2542224 3177780 3813336 4237040 4766670 5084448 6355560 7626672 8474080 9533340 12711120 15253344 19066680 25422240 38133360 76266720