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70664 = 2311273
BaseRepresentation
bin10001010000001000
310120221012
4101100020
54230124
61303052
7413006
oct212010
9116835
1070664
1149100
1234a88
1326219
141ba76
1515e0e
hex11408

70664 has 24 divisors (see below), whose sum is σ = 147630. Its totient is φ = 31680.

The previous prime is 70663. The next prime is 70667. The reversal of 70664 is 46607.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 12100 = 242^2 + 110^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70664.

It is not an unprimeable number, because it can be changed into a prime (70663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 932 + ... + 1004.

270664 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 70664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73815).

70664 is an abundant number, since it is smaller than the sum of its proper divisors (76966).

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

70664 is a wasteful number, since it uses less digits than its factorization.

70664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 70664 is about 265.8270114191. The cubic root of 70664 is about 41.3427542406.

The spelling of 70664 in words is "seventy thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 73 88 121 146 242 292 484 584 803 968 1606 3212 6424 8833 17666 35332 70664