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20693952 = 263237971
BaseRepresentation
bin100111011110…
…0001111000000
31102221100202200
41032330033000
520244201302
62015313200
7340616136
oct116741700
942840680
1020693952
1110754744
126b1b800
134397256
142a69756
151c3b81c
hex13bc3c0

20693952 has 84 divisors (see below), whose sum is σ = 60981336. Its totient is φ = 6704640.

The previous prime is 20693941. The next prime is 20693993. The reversal of 20693952 is 25939602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20827 + ... + 21797.

Almost surely, 220693952 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 20693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30490668).

20693952 is an abundant number, since it is smaller than the sum of its proper divisors (40287384).

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

20693952 is a wasteful number, since it uses less digits than its factorization.

20693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 20693952 is about 4549.0605623579. The cubic root of 20693952 is about 274.5455944648.

The spelling of 20693952 in words is "twenty million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 971 1184 1332 1776 1942 2368 2664 2913 3552 3884 5328 5826 7104 7768 8739 10656 11652 15536 17478 21312 23304 31072 34956 35927 46608 62144 69912 71854 93216 107781 139824 143708 186432 215562 279648 287416 323343 431124 559296 574832 646686 862248 1149664 1293372 1724496 2299328 2586744 3448992 5173488 6897984 10346976 20693952