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10457064 = 2332311467
BaseRepresentation
bin100111111000…
…111111101000
3201200021101200
4213320333220
510134111224
61012044200
7154612032
oct47707750
921607350
1010457064
1159a2602
123603660
132221917
141562c52
15db85c9
hex9f8fe8

10457064 has 48 divisors (see below), whose sum is σ = 28473120. Its totient is φ = 3467040.

The previous prime is 10457063. The next prime is 10457089. The reversal of 10457064 is 46075401.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10457063) 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, 22159 + ... + 22625.

It is an arithmetic number, because the mean of its divisors is an integer number (593190).

Almost surely, 210457064 is an apocalyptic number.

It is an amenable number.

10457064 is an abundant number, since it is smaller than the sum of its proper divisors (18016056).

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

10457064 is a wasteful number, since it uses less digits than its factorization.

10457064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10457064 is about 3233.7383938717. The cubic root of 10457064 is about 218.6770745757.

The spelling of 10457064 in words is "ten million, four hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 467 622 933 934 1244 1401 1866 1868 2488 2799 2802 3732 3736 4203 5598 5604 7464 8406 11196 11208 16812 22392 33624 145237 290474 435711 580948 871422 1161896 1307133 1742844 2614266 3485688 5228532 10457064