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76576920 = 2335791163
BaseRepresentation
bin1001001000001…
…11100010011000
312100002111210020
410210013202120
5124100430140
611333150440
71616615220
oct444074230
9170074706
1076576920
113a253412
122178b420
1312b322b4
14a255080
156ac96d0
hex4907898

76576920 has 64 divisors (see below), whose sum is σ = 262552320. Its totient is φ = 17503104.

The previous prime is 76576919. The next prime is 76576949. The reversal of 76576920 is 2967567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44742 + ... + 46421.

It is an arithmetic number, because the mean of its divisors is an integer number (4102380).

Almost surely, 276576920 is an apocalyptic number.

76576920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76576920 is an abundant number, since it is smaller than the sum of its proper divisors (185975400).

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

76576920 is a wasteful number, since it uses less digits than its factorization.

76576920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91184 (or 91180 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 76576920 is about 8750.8239612050. The cubic root of 76576920 is about 424.6514697372.

The spelling of 76576920 in words is "seventy-six million, five hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 91163 182326 273489 364652 455815 546978 638141 729304 911630 1093956 1276282 1367445 1823260 1914423 2187912 2552564 2734890 3190705 3646520 3828846 5105128 5469780 6381410 7657692 9572115 10939560 12762820 15315384 19144230 25525640 38288460 76576920