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76065024 = 283714149
BaseRepresentation
bin1001000100010…
…10100100000000
312022010111121010
410202022210000
5123433040044
611314200520
71612353630
oct442124400
9168114533
1076065024
1139a33862
1221583140
13129b32b9
14a1606c0
156a27bb9
hex488a900

76065024 has 72 divisors (see below), whose sum is σ = 231380800. Its totient is φ = 21731328.

The previous prime is 76065013. The next prime is 76065047. The reversal of 76065024 is 42056067.

It is a super-2 number, since 2×760650242 = 11571775752241152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76064982 and 76065000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699 + ... + 12450.

Almost surely, 276065024 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 76065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115690400).

76065024 is an abundant number, since it is smaller than the sum of its proper divisors (155315776).

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

76065024 is a wasteful number, since it uses less digits than its factorization.

76065024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 76065024 is about 8721.5264718970. The cubic root of 76065024 is about 423.7031267059.

The spelling of 76065024 in words is "seventy-six million, sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 14149 28298 42447 56596 84894 99043 113192 169788 198086 226384 297129 339576 396172 452768 594258 679152 792344 905536 1188516 1358304 1584688 1811072 2377032 2716608 3169376 3622144 4754064 5433216 6338752 9508128 10866432 12677504 19016256 25355008 38032512 76065024