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10640608 = 2511193743
BaseRepresentation
bin101000100101…
…110011100000
3202000121011121
4220211303200
510210444413
61020022024
7156305116
oct50456340
922017147
1010640608
1160084a0
123691914
132287324
1415adab6
15e02b8d
hexa25ce0

10640608 has 96 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4354560.

The previous prime is 10640603. The next prime is 10640629. The reversal of 10640608 is 80604601.

It is a super-2 number, since 2×106406082 = 226445077219328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247435 + ... + 247477.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 210640608 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 10640608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10640608 is an abundant number, since it is smaller than the sum of its proper divisors (14640032).

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

10640608 is a wasteful number, since it uses less digits than its factorization.

10640608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10640608 is about 3261.9944819083. The cubic root of 10640608 is about 219.9490791239.

The spelling of 10640608 in words is "ten million, six hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 37 38 43 44 74 76 86 88 148 152 172 176 209 296 304 344 352 407 418 473 592 608 688 703 814 817 836 946 1184 1376 1406 1591 1628 1634 1672 1892 2812 3182 3256 3268 3344 3784 5624 6364 6512 6536 6688 7568 7733 8987 11248 12728 13024 13072 15136 15466 17501 17974 22496 25456 26144 30229 30932 35002 35948 50912 60458 61864 70004 71896 120916 123728 140008 143792 241832 247456 280016 287584 332519 483664 560032 665038 967328 1330076 2660152 5320304 10640608