Search a number
-
+
21342912 = 263891249
BaseRepresentation
bin101000101101…
…0101011000000
31111011022222020
41101122223000
520430433122
62041241440
7346261143
oct121325300
944138866
1021342912
1111058278
127193280
134563756
142b9805a
151d18c5c
hex145aac0

21342912 has 56 divisors (see below), whose sum is σ = 57150000. Its totient is φ = 7028736.

The previous prime is 21342907. The next prime is 21342943. The reversal of 21342912 is 21924312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 16464 + ... + 17712.

Almost surely, 221342912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28575000).

21342912 is an abundant number, since it is smaller than the sum of its proper divisors (35807088).

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

21342912 is a wasteful number, since it uses less digits than its factorization.

21342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 21342912 is about 4619.8389582322. The cubic root of 21342912 is about 277.3860127575.

The spelling of 21342912 in words is "twenty-one million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1249 1424 2136 2498 2848 3747 4272 4996 5696 7494 8544 9992 14988 17088 19984 29976 39968 59952 79936 111161 119904 222322 239808 333483 444644 666966 889288 1333932 1778576 2667864 3557152 5335728 7114304 10671456 21342912