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12055904 = 257107503
BaseRepresentation
bin101101111111…
…010101100000
3211200111120222
4231333111200
511041242104
61110222212
7204321260
oct55772540
924614528
1012055904
116894863
124054968
132661593
14185b7a0
1510d21be
hexb7f560

12055904 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 5108352.

The previous prime is 12055903. The next prime is 12055919. The reversal of 12055904 is 40955021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055903) 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, 23717 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212055904 is an apocalyptic number.

12055904 is a gapful number since it is divisible by the number (14) 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 12055904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12055904 is an abundant number, since it is smaller than the sum of its proper divisors (15377824).

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

12055904 is a wasteful number, since it uses less digits than its factorization.

12055904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 12055904 is about 3472.1612865764. The cubic root of 12055904 is about 229.2978206534.

The spelling of 12055904 in words is "twelve million, fifty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 503 749 856 1006 1498 1712 2012 2996 3424 3521 4024 5992 7042 8048 11984 14084 16096 23968 28168 53821 56336 107642 112672 215284 376747 430568 753494 861136 1506988 1722272 3013976 6027952 12055904