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10457000 = 235310457
BaseRepresentation
bin100111111000…
…111110101000
3201200021022022
4213320332220
510134111000
61012044012
7154611611
oct47707650
921607268
1010457000
1159a2554
123603608
132221898
141562c08
15db8585
hex9f8fa8

10457000 has 32 divisors (see below), whose sum is σ = 24471720. Its totient is φ = 4182400.

The previous prime is 10456997. The next prime is 10457033. The reversal of 10457000 is 75401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5466244 + 4990756 = 2338^2 + 2234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10457000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4229 + ... + 6228.

Almost surely, 210457000 is an apocalyptic number.

10457000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457000 is an abundant number, since it is smaller than the sum of its proper divisors (14014720).

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

10457000 is a wasteful number, since it uses less digits than its factorization.

10457000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10478 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10457000 is about 3233.7284981890. The cubic root of 10457000 is about 218.6766284542.

The spelling of 10457000 in words is "ten million, four hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10457 20914 41828 52285 83656 104570 209140 261425 418280 522850 1045700 1307125 2091400 2614250 5228500 10457000