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70580664 = 233271129439
BaseRepresentation
bin1000011010011…
…11100110111000
311220210212110200
410031033212320
5121032040124
611000442200
71514632350
oct415174670
9156725420
1070580664
1136928330
121b779360
1311812c0b
149533b60
1562e2bc9
hex434f9b8

70580664 has 192 divisors, whose sum is σ = 247104000. Its totient is φ = 17660160.

The previous prime is 70580659. The next prime is 70580669. The reversal of 70580664 is 46608507.

It is a happy number.

70580664 is a `hidden beast` number, since 70 + 580 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (70580659) and next prime (70580669).

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70580669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160557 + ... + 160995.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 270580664 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 70580664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000).

70580664 is an abundant number, since it is smaller than the sum of its proper divisors (176523336).

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

70580664 is a wasteful number, since it uses less digits than its factorization.

70580664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 70580664 is about 8401.2299099596. The cubic root of 70580664 is about 413.2649563154.

The spelling of 70580664 in words is "seventy million, five hundred eighty thousand, six hundred sixty-four".