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10664264 = 231341261
BaseRepresentation
bin101000101011…
…100101001000
3202001210121202
4220223211020
510212224024
61020323332
7156434102
oct50534510
922053552
1010664264
116024246
1236a3548
132295020
1415b8572
15e09bae
hexa2b948

10664264 has 48 divisors (see below), whose sum is σ = 22433460. Its totient is φ = 4723200.

The previous prime is 10664243. The next prime is 10664267. The reversal of 10664264 is 46246601.

It can be written as a sum of positive squares in 6 ways, for example, as 792100 + 9872164 = 890^2 + 3142^2 .

It is a super-2 number, since 2×106642642 = 227453053323392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10664267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174794 + ... + 174854.

Almost surely, 210664264 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 10664264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216730).

10664264 is an abundant number, since it is smaller than the sum of its proper divisors (11769196).

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

10664264 is a wasteful number, since it uses less digits than its factorization.

10664264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 10664264 is about 3265.6184712853. The cubic root of 10664264 is about 220.1119540382. Note that the first 3 decimals are identical.

It can be divided in two parts, 1066 and 4264, that multiplied together give a square (4545424 = 21322).

The spelling of 10664264 in words is "ten million, six hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 61 82 104 122 164 244 328 488 533 793 1066 1586 1681 2132 2501 3172 3362 4264 5002 6344 6724 10004 13448 20008 21853 32513 43706 65026 87412 102541 130052 174824 205082 260104 410164 820328 1333033 2666066 5332132 10664264