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76050560 = 275331359
BaseRepresentation
bin1001000100001…
…11000010000000
312022002202202102
410202013002000
5123432104220
611314005532
71612263515
oct442070200
9168082672
1076050560
1139a23a03
12215768a8
13129a9841
14a15930c
156a23775
hex4887080

76050560 has 64 divisors (see below), whose sum is σ = 182865600. Its totient is φ = 30243840.

The previous prime is 76050551. The next prime is 76050593. The reversal of 76050560 is 6505067.

It is a tau number, because it is divible by the number of its divisors (64).

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, 211661 + ... + 212019.

It is an arithmetic number, because the mean of its divisors is an integer number (2857275).

Almost surely, 276050560 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 76050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91432800).

76050560 is an abundant number, since it is smaller than the sum of its proper divisors (106815040).

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

76050560 is a wasteful number, since it uses less digits than its factorization.

76050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 76050560 is about 8720.6972198328. The cubic root of 76050560 is about 423.6762688493.

The spelling of 76050560 in words is "seventy-six million, fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 331 359 640 662 718 1324 1436 1655 1795 2648 2872 3310 3590 5296 5744 6620 7180 10592 11488 13240 14360 21184 22976 26480 28720 42368 45952 52960 57440 105920 114880 118829 211840 229760 237658 475316 594145 950632 1188290 1901264 2376580 3802528 4753160 7605056 9506320 15210112 19012640 38025280 76050560