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23875680 = 253549741
BaseRepresentation
bin101101100010…
…1000001100000
31122221000021110
41123011001200
522103010210
62211423320
7406640253
oct133050140
948830243
1023875680
1112528174
127bb4b40
134c3c52a
14325709a
152169420
hex16c5060

23875680 has 48 divisors (see below), whose sum is σ = 75209904. Its totient is φ = 6366720.

The previous prime is 23875669. The next prime is 23875681. The reversal of 23875680 is 8657832.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23875681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24391 + ... + 25350.

It is an arithmetic number, because the mean of its divisors is an integer number (1566873).

Almost surely, 223875680 is an apocalyptic number.

23875680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23875680 is an abundant number, since it is smaller than the sum of its proper divisors (51334224).

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

23875680 is a wasteful number, since it uses less digits than its factorization.

23875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49759 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 23875680 is about 4886.2746545809. The cubic root of 23875680 is about 287.9509947483.

The spelling of 23875680 in words is "twenty-three million, eight hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 49741 99482 149223 198964 248705 298446 397928 497410 596892 746115 795856 994820 1193784 1492230 1591712 1989640 2387568 2984460 3979280 4775136 5968920 7958560 11937840 23875680