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23103872 = 271161269
BaseRepresentation
bin101100000100…
…0100110000000
31121110210112222
41120020212000
521403310442
62143110212
7400244141
oct130104600
947423488
1023103872
1112050310
1278a2368
134a2c13c
1430d5ac8
1520658d2
hex1608980

23103872 has 64 divisors (see below), whose sum is σ = 51224400. Its totient is φ = 10291200.

The previous prime is 23103859. The next prime is 23103887. The reversal of 23103872 is 27830132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85754 + ... + 86022.

Almost surely, 223103872 is an apocalyptic number.

23103872 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 23103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612200).

23103872 is an abundant number, since it is smaller than the sum of its proper divisors (28120528).

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

23103872 is a wasteful number, since it uses less digits than its factorization.

23103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 23103872 is about 4806.6487285842. The cubic root of 23103872 is about 284.8141683815.

The spelling of 23103872 in words is "twenty-three million, one hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 269 352 488 538 671 704 976 1076 1342 1408 1952 2152 2684 2959 3904 4304 5368 5918 7808 8608 10736 11836 16409 17216 21472 23672 32818 34432 42944 47344 65636 85888 94688 131272 180499 189376 262544 360998 378752 525088 721996 1050176 1443992 2100352 2887984 5775968 11551936 23103872