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10456140 = 2235229761
BaseRepresentation
bin100111111000…
…110001001100
3201200020010110
4213320301030
510134044030
61012040020
7154606242
oct47706114
921606113
1010456140
1159a1942
123603010
132221386
141562792
15db81b0
hex9f8c4c

10456140 has 48 divisors (see below), whose sum is σ = 29443680. Its totient is φ = 2772480.

The previous prime is 10456123. The next prime is 10456141. The reversal of 10456140 is 4165401.

10456140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10456141) 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, 13360 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (613410).

Almost surely, 210456140 is an apocalyptic number.

10456140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456140 is an abundant number, since it is smaller than the sum of its proper divisors (18987540).

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

10456140 is a wasteful number, since it uses less digits than its factorization.

10456140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10456140 is about 3233.5955220157. The cubic root of 10456140 is about 218.6706335208.

The spelling of 10456140 in words is "ten million, four hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 761 916 1145 1374 1522 2283 2290 2748 3044 3435 3805 4566 4580 6870 7610 9132 11415 13740 15220 22830 45660 174269 348538 522807 697076 871345 1045614 1742690 2091228 2614035 3485380 5228070 10456140