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21914368 = 28721747
BaseRepresentation
bin101001110011…
…0001100000000
31112020100212021
41103212030000
521102224433
62101411224
7354161200
oct123461400
945210767
1021914368
1111408653
127409b14
1347038a8
142ca6400
151dcd22d
hex14e6300

21914368 has 54 divisors (see below), whose sum is σ = 50913996. Its totient is φ = 9386496.

The previous prime is 21914359. The next prime is 21914369. The reversal of 21914368 is 86341912.

It is not an unprimeable number, because it can be changed into a prime (21914369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11671 + ... + 13417.

Almost surely, 221914368 is an apocalyptic number.

21914368 is a gapful number since it is divisible by the number (28) 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 21914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25456998).

21914368 is an abundant number, since it is smaller than the sum of its proper divisors (28999628).

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

21914368 is an equidigital number, since it uses as much as digits as its factorization.

21914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1756 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 21914368 is about 4681.2784578574. The cubic root of 21914368 is about 279.8399084843.

The spelling of 21914368 in words is "twenty-one million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1747 1792 3136 3494 6272 6988 12229 12544 13976 24458 27952 48916 55904 85603 97832 111808 171206 195664 223616 342412 391328 447232 684824 782656 1369648 1565312 2739296 3130624 5478592 10957184 21914368