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10664320 = 27519877
BaseRepresentation
bin101000101011…
…100110000000
3202001210200211
4220223212000
510212224240
61020323504
7156434212
oct50534600
922053624
1010664320
116024297
1236a3594
132295064
1415b85b2
15e09bea
hexa2b980

10664320 has 64 divisors (see below), whose sum is σ = 26866800. Its totient is φ = 4036608.

The previous prime is 10664299. The next prime is 10664327. The reversal of 10664320 is 2346601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106643202 = 227455442124800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10664291 and 10664300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11722 + ... + 12598.

Almost surely, 210664320 is an apocalyptic number.

10664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433400).

10664320 is an abundant number, since it is smaller than the sum of its proper divisors (16202480).

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

10664320 is an equidigital number, since it uses as much as digits as its factorization.

10664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10664320 is about 3265.6270454539. The cubic root of 10664320 is about 220.1123393203.

The spelling of 10664320 in words is "ten million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 877 1216 1520 1754 2432 3040 3508 4385 6080 7016 8770 12160 14032 16663 17540 28064 33326 35080 56128 66652 70160 83315 112256 133304 140320 166630 266608 280640 333260 533216 561280 666520 1066432 1333040 2132864 2666080 5332160 10664320