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10132590 = 2351325981
BaseRepresentation
bin100110101001…
…110001101110
3201001210022010
4212221301232
510043220330
61001102050
7152061036
oct46516156
921053263
1010132590
1157a0846
123487926
13213a020
1414ba8c6
15d523b0
hex9a9c6e

10132590 has 32 divisors (see below), whose sum is σ = 26189856. Its totient is φ = 2494080.

The previous prime is 10132547. The next prime is 10132607. The reversal of 10132590 is 9523101.

10132590 = 1422 + 1432 + ... + 3212.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 12601 + ... + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (818433).

Almost surely, 210132590 is an apocalyptic number.

10132590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10132590 is an abundant number, since it is smaller than the sum of its proper divisors (16057266).

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

10132590 is a wasteful number, since it uses less digits than its factorization.

10132590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26004.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10132590 is about 3183.1729453487. The cubic root of 10132590 is about 216.3914796946.

Adding to 10132590 its reverse (9523101), we get a palindrome (19655691).

The spelling of 10132590 in words is "ten million, one hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 25981 51962 77943 129905 155886 259810 337753 389715 675506 779430 1013259 1688765 2026518 3377530 5066295 10132590