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11923872 = 253294283
BaseRepresentation
bin101101011111…
…000110100000
3211102210110220
4231133012200
511023030442
61103323040
7203231322
oct55370640
924383426
1011923872
116804644
123bb0480
13261645c
141825612
1510a7eec
hexb5f1a0

11923872 has 48 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 3836672.

The previous prime is 11923861. The next prime is 11923889. The reversal of 11923872 is 27832911.

11923872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 643 + ... + 4925.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 211923872 is an apocalyptic number.

11923872 is a gapful number since it is divisible by the number (12) 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 11923872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

11923872 is an abundant number, since it is smaller than the sum of its proper divisors (20463168).

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

11923872 is a wasteful number, since it uses less digits than its factorization.

11923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4317 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 11923872 is about 3453.0960021407. The cubic root of 11923872 is about 228.4576832866.

The spelling of 11923872 in words is "eleven million, nine hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4283 8566 12849 17132 25698 34264 51396 68528 102792 124207 137056 205584 248414 372621 411168 496828 745242 993656 1490484 1987312 2980968 3974624 5961936 11923872