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75872070 = 23256531291
BaseRepresentation
bin1001000010110…
…11011101000110
312021202200220200
410201123131012
5123410401240
611310111330
71610621241
oct441333506
9167680820
1075872070
113991189a
12214ab546
1312946521
14a110258
1569da930
hex485b746

75872070 has 48 divisors (see below), whose sum is σ = 197722512. Its totient is φ = 20185920.

The previous prime is 75872063. The next prime is 75872077. The reversal of 75872070 is 7027857.

75872070 is a `hidden beast` number, since 7 + 587 + 2 + 0 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (75872063) and next prime (75872077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75872077) 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, 58125 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (4119219).

Almost surely, 275872070 is an apocalyptic number.

75872070 is an abundant number, since it is smaller than the sum of its proper divisors (121850442).

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

75872070 is a wasteful number, since it uses less digits than its factorization.

75872070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 75872070 is about 8710.4575080761. The cubic root of 75872070 is about 423.3445543695.

The spelling of 75872070 in words is "seventy-five million, eight hundred seventy-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 653 1291 1306 1959 2582 3265 3873 3918 5877 6455 6530 7746 9795 11619 11754 12910 19365 19590 23238 29385 38730 58095 58770 116190 843023 1686046 2529069 4215115 5058138 7587207 8430230 12645345 15174414 25290690 37936035 75872070