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70659072 = 21032111741
BaseRepresentation
bin1000011011000…
…10110000000000
311220221212000200
410031202300000
5121042042242
611002245200
71515410061
oct415426000
9156855020
1070659072
1136981230
121b7b6800
131183c803
149554568
15630b04c
hex4362c00

70659072 has 264 divisors, whose sum is σ = 241414992. Its totient is φ = 19660800.

The previous prime is 70659067. The next prime is 70659073. The reversal of 70659072 is 27095607.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (70659073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723372 + ... + 1723412.

Almost surely, 270659072 is an apocalyptic number.

70659072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120707496).

70659072 is an abundant number, since it is smaller than the sum of its proper divisors (170755920).

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

70659072 is a wasteful number, since it uses less digits than its factorization.

70659072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 70659072 is about 8405.8950742916. The cubic root of 70659072 is about 413.4179315797.

The spelling of 70659072 in words is "seventy million, six hundred fifty-nine thousand, seventy-two".