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12153920 = 265191999
BaseRepresentation
bin101110010111…
…010001000000
3211212111001012
4232113101000
511102411140
61112300052
7205210112
oct56272100
924774035
1012153920
116951469
1240a1628
13269708c
1418853b2
151101265
hexb97440

12153920 has 56 divisors (see below), whose sum is σ = 30480000. Its totient is φ = 4603392.

The previous prime is 12153919. The next prime is 12153923. The reversal of 12153920 is 2935121.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12153923) 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, 5081 + ... + 7079.

Almost surely, 212153920 is an apocalyptic number.

12153920 is a gapful number since it is divisible by the number (10) 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 12153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240000).

12153920 is an abundant number, since it is smaller than the sum of its proper divisors (18326080).

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

12153920 is a wasteful number, since it uses less digits than its factorization.

12153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 12153920 is about 3486.2472660441. The cubic root of 12153920 is about 229.9175507878.

The spelling of 12153920 in words is "twelve million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 1999 3040 3998 6080 7996 9995 15992 19990 31984 37981 39980 63968 75962 79960 127936 151924 159920 189905 303848 319840 379810 607696 639680 759620 1215392 1519240 2430784 3038480 6076960 12153920