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10073664 = 263217489
BaseRepresentation
bin100110011011…
…011001000000
3200221210110200
4212123121000
510034324124
6555525200
7151424166
oct46333100
920853420
1010073664
115760547
123459800
132119263
1414a3236
15d3ebc9
hex99b640

10073664 has 42 divisors (see below), whose sum is σ = 28875990. Its totient is φ = 3357696.

The previous prime is 10073647. The next prime is 10073669. The reversal of 10073664 is 46637001.

It can be written as a sum of positive squares in only one way, i.e., 5198400 + 4875264 = 2280^2 + 2208^2 .

It is not an unprimeable number, because it can be changed into a prime (10073669) 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, 8169 + ... + 9320.

Almost surely, 210073664 is an apocalyptic number.

It is an amenable number.

10073664 is an abundant number, since it is smaller than the sum of its proper divisors (18802326).

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

10073664 is a wasteful number, since it uses less digits than its factorization.

10073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17507 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10073664 is about 3173.9035902182. The cubic root of 10073664 is about 215.9711895730.

The spelling of 10073664 in words is "ten million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 17489 34978 52467 69956 104934 139912 157401 209868 279824 314802 419736 559648 629604 839472 1119296 1259208 1678944 2518416 3357888 5036832 10073664