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23132560 = 2451197271
BaseRepresentation
bin101100000111…
…1100110010000
31121112020220111
41120033212100
521410220220
62143451104
7400423603
oct130174620
947466814
1023132560
111206a920
1278b6a94
134a3c209
14310233a
15206e15a
hex160f990

23132560 has 80 divisors (see below), whose sum is σ = 59496192. Its totient is φ = 8294400.

The previous prime is 23132521. The next prime is 23132561. The reversal of 23132560 is 6523132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23132561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85225 + ... + 85495.

Almost surely, 223132560 is an apocalyptic number.

23132560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748096).

23132560 is an abundant number, since it is smaller than the sum of its proper divisors (36363632).

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

23132560 is a wasteful number, since it uses less digits than its factorization.

23132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 23132560 is about 4809.6320025549. The cubic root of 23132560 is about 284.9320038873.

Adding to 23132560 its reverse (6523132), we get a palindrome (29655692).

The spelling of 23132560 in words is "twenty-three million, one hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 271 388 440 485 542 776 880 970 1067 1084 1355 1552 1940 2134 2168 2710 2981 3880 4268 4336 5335 5420 5962 7760 8536 10670 10840 11924 14905 17072 21340 21680 23848 26287 29810 42680 47696 52574 59620 85360 105148 119240 131435 210296 238480 262870 289157 420592 525740 578314 1051480 1156628 1445785 2102960 2313256 2891570 4626512 5783140 11566280 23132560