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70687680 = 2635767157
BaseRepresentation
bin1000011011010…
…01101111000000
311221000022021020
410031221233000
5121044001210
611003025440
71515556350
oct415515700
9157008236
1070687680
11369a0778
121b80b280
131184c83b
149560b60
156314770
hex4369bc0

70687680 has 224 divisors, whose sum is σ = 261981696. Its totient is φ = 15814656.

The previous prime is 70687679. The next prime is 70687681. The reversal of 70687680 is 8678607.

It is an interprime number because it is at equal distance from previous prime (70687679) and next prime (70687681).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70687681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450162 + ... + 450318.

Almost surely, 270687680 is an apocalyptic number.

70687680 is a gapful number since it is divisible by the number (70) 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 70687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130990848).

70687680 is an abundant number, since it is smaller than the sum of its proper divisors (191294016).

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

70687680 is a wasteful number, since it uses less digits than its factorization.

70687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 70687680 is about 8407.5965650119. The cubic root of 70687680 is about 413.4737180675.

The spelling of 70687680 in words is "seventy million, six hundred eighty-seven thousand, six hundred eighty".