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70006680 = 23345173141
BaseRepresentation
bin1000010110000…
…11011110011000
311212201201010000
410023003132120
5120410203210
610540253000
71510022052
oct413033630
9155651100
1070006680
1136576067
121b541160
1311671893
1494248d2
15622cac0
hex42c3798

70006680 has 320 divisors, whose sum is σ = 263450880. Its totient is φ = 16588800.

The previous prime is 70006633. The next prime is 70006691. The reversal of 70006680 is 8660007.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1707460 + ... + 1707500.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 270006680 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 70006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

70006680 is an abundant number, since it is smaller than the sum of its proper divisors (193444200).

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

70006680 is a wasteful number, since it uses less digits than its factorization.

70006680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 70006680 is about 8366.9994621728. Note that the first 3 decimals coincide. The cubic root of 70006680 is about 412.1416391762.

Adding to 70006680 its reverse (8660007), we get a palindrome (78666687).

The spelling of 70006680 in words is "seventy million, six thousand, six hundred eighty".