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10457359 = 1147113179
BaseRepresentation
bin100111111001…
…000100001111
3201200021210121
4213321010033
510134113414
61012045411
7154612633
oct47710417
921607717
1010457359
1159a2850
123603867
132221ab3
141562dc3
15db8724
hex9f910f

10457359 has 16 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 9170560.

The previous prime is 10457303. The next prime is 10457389. The reversal of 10457359 is 95375401.

10457359 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10457359 - 211 = 10455311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58332 + ... + 58510.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 210457359 is an apocalyptic number.

10457359 is a deficient number, since it is larger than the sum of its proper divisors (1362161).

10457359 is a wasteful number, since it uses less digits than its factorization.

10457359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 10457359 is about 3233.7840063925. The cubic root of 10457359 is about 218.6791308931.

It can be divided in two parts, 10457 and 359, that added together give a square (10816 = 1042).

The spelling of 10457359 in words is "ten million, four hundred fifty-seven thousand, three hundred fifty-nine".

Divisors: 1 11 47 113 179 517 1243 1969 5311 8413 20227 58421 92543 222497 950669 10457359