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70464 = 263367
BaseRepresentation
bin10001001101000000
310120122210
4101031000
54223324
61302120
7412302
oct211500
9116583
1070464
1148a39
1234940
13260c4
141b972
1515d29
hex11340

70464 has 28 divisors (see below), whose sum is σ = 186944. Its totient is φ = 23424.

The previous prime is 70459. The next prime is 70481. The reversal of 70464 is 46407.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 70464.

It is a congruent number.

It is an unprimeable number.

70464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 375.

270464 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 70464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93472).

70464 is an abundant number, since it is smaller than the sum of its proper divisors (116480).

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

70464 is a wasteful number, since it uses less digits than its factorization.

70464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 70464 is about 265.4505603686. The cubic root of 70464 is about 41.3037133148.

The spelling of 70464 in words is "seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1468 2202 2936 4404 5872 8808 11744 17616 23488 35232 70464