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23005640 = 235782163
BaseRepresentation
bin101011111000…
…0100111001000
31121021210210202
41113300213020
521342140030
62141031332
7366354560
oct127604710
947253722
1023005640
1111a93529
127855548
1349c6508
1430abda0
152046745
hex15f09c8

23005640 has 32 divisors (see below), whose sum is σ = 59158080. Its totient is φ = 7887552.

The previous prime is 23005639. The next prime is 23005667. The reversal of 23005640 is 4650032.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 40802 + ... + 41361.

It is an arithmetic number, because the mean of its divisors is an integer number (1848690).

Almost surely, 223005640 is an apocalyptic number.

23005640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23005640 is an abundant number, since it is smaller than the sum of its proper divisors (36152440).

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

23005640 is a wasteful number, since it uses less digits than its factorization.

23005640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82181 (or 82177 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23005640 is about 4796.4194979172. The cubic root of 23005640 is about 284.4099416067.

Adding to 23005640 its reverse (4650032), we get a palindrome (27655672).

The spelling of 23005640 in words is "twenty-three million, five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 82163 164326 328652 410815 575141 657304 821630 1150282 1643260 2300564 2875705 3286520 4601128 5751410 11502820 23005640