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21906336 = 2531731433
BaseRepresentation
bin101001110010…
…0001110100000
31112012221211210
41103210032200
521102000321
62101310120
7354125604
oct123441640
945187753
1021906336
1111402611
127405340
13470003a
142ca3504
151dcab76
hex14e43a0

21906336 has 96 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 6635520.

The previous prime is 21906329. The next prime is 21906337. The reversal of 21906336 is 63360912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21906337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50376 + ... + 50808.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 221906336 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 21906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

21906336 is an abundant number, since it is smaller than the sum of its proper divisors (41089632).

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

21906336 is a wasteful number, since it uses less digits than its factorization.

21906336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 21906336 is about 4680.4204939300. The cubic root of 21906336 is about 279.8057155626.

The spelling of 21906336 in words is "twenty-one million, nine hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 433 496 527 544 744 816 866 992 1054 1299 1488 1581 1632 1732 2108 2598 2976 3162 3464 4216 5196 6324 6928 7361 8432 10392 12648 13423 13856 14722 16864 20784 22083 25296 26846 29444 40269 41568 44166 50592 53692 58888 80538 88332 107384 117776 161076 176664 214768 228191 235552 322152 353328 429536 456382 644304 684573 706656 912764 1288608 1369146 1825528 2738292 3651056 5476584 7302112 10953168 21906336