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23907972 = 22311712551
BaseRepresentation
bin101101100110…
…0111010000100
31122222122120110
41123030322010
522110023342
62212233020
7410133354
oct133147204
948878513
1023907972
111254a460
12800b770
134c5113a
143264b64
152173c9c
hex16cce84

23907972 has 48 divisors (see below), whose sum is σ = 61737984. Its totient is φ = 7140000.

The previous prime is 23907941. The next prime is 23907979. The reversal of 23907972 is 27970932.

It is a super-2 number, since 2×239079722 = 1143182250305568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23907972.

It is not an unprimeable number, because it can be changed into a prime (23907979) 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, 8097 + ... + 10647.

It is an arithmetic number, because the mean of its divisors is an integer number (1286208).

Almost surely, 223907972 is an apocalyptic number.

23907972 is a gapful number since it is divisible by the number (22) 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 23907972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30868992).

23907972 is an abundant number, since it is smaller than the sum of its proper divisors (37830012).

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

23907972 is a wasteful number, since it uses less digits than its factorization.

23907972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 23907972 is about 4889.5778958924. The cubic root of 23907972 is about 288.0807547464.

The spelling of 23907972 in words is "twenty-three million, nine hundred seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 2551 3124 4686 5102 7653 9372 10204 15306 28061 30612 56122 84183 112244 168366 181121 336732 362242 543363 724484 1086726 1992331 2173452 3984662 5976993 7969324 11953986 23907972