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21814672 = 24111723317
BaseRepresentation
bin101001100110…
…1110110010000
31112001022002211
41103031312100
521041032142
62055321504
7353264425
oct123156620
945038084
1021814672
111134a760
127380294
13469a3b9
142c7bd4c
151dad917
hex14cdd90

21814672 has 80 divisors (see below), whose sum is σ = 51103872. Its totient is φ = 8898560.

The previous prime is 21814633. The next prime is 21814703. The reversal of 21814672 is 27641812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68658 + ... + 68974.

Almost surely, 221814672 is an apocalyptic number.

21814672 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 21814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25551936).

21814672 is an abundant number, since it is smaller than the sum of its proper divisors (29289200).

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

21814672 is a wasteful number, since it uses less digits than its factorization.

21814672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 21814672 is about 4670.6179462679. The cubic root of 21814672 is about 279.4149006533.

The spelling of 21814672 in words is "twenty-one million, eight hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 23 34 44 46 68 88 92 136 176 184 187 253 272 317 368 374 391 506 634 748 782 1012 1268 1496 1564 2024 2536 2992 3128 3487 4048 4301 5072 5389 6256 6974 7291 8602 10778 13948 14582 17204 21556 27896 29164 34408 43112 55792 58328 59279 68816 80201 86224 116656 118558 123947 160402 237116 247894 320804 474232 495788 641608 948464 991576 1283216 1363417 1983152 2726834 5453668 10907336 21814672