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20968704 = 283219479
BaseRepresentation
bin100111111111…
…1010100000000
31110110022122200
41033333110000
520331444304
62025233200
7343142151
oct117772400
943408580
1020968704
1110922109
127032800
134462323
142adb928
151c92e39
hex13ff500

20968704 has 108 divisors (see below), whose sum is σ = 63772800. Its totient is φ = 6607872.

The previous prime is 20968699. The next prime is 20968771. The reversal of 20968704 is 40786902.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43537 + ... + 44015.

Almost surely, 220968704 is an apocalyptic number.

20968704 is a gapful number since it is divisible by the number (24) 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 20968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31886400).

20968704 is an abundant number, since it is smaller than the sum of its proper divisors (42804096).

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

20968704 is a wasteful number, since it uses less digits than its factorization.

20968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20968704 is about 4579.1597482508. The cubic root of 20968704 is about 275.7552966562.

The spelling of 20968704 in words is "twenty million, nine hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 479 576 608 684 768 912 958 1152 1216 1368 1437 1824 1916 2304 2432 2736 2874 3648 3832 4311 4864 5472 5748 7296 7664 8622 9101 10944 11496 14592 15328 17244 18202 21888 22992 27303 30656 34488 36404 43776 45984 54606 61312 68976 72808 81909 91968 109212 122624 137952 145616 163818 183936 218424 275904 291232 327636 367872 436848 551808 582464 655272 873696 1103616 1164928 1310544 1747392 2329856 2621088 3494784 5242176 6989568 10484352 20968704