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20716992 = 263319631
BaseRepresentation
bin100111100000…
…1110111000000
31102222112101000
41033001313000
520300420432
62020012000
7341043252
oct117016700
942875330
1020716992
111076aa8a
126b31000
1343a489a
142a73cd2
151c4357c
hex13c1dc0

20716992 has 112 divisors (see below), whose sum is σ = 64211200. Its totient is φ = 6531840.

The previous prime is 20716987. The next prime is 20717023. The reversal of 20716992 is 29961702.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32517 + ... + 33147.

Almost surely, 220716992 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 20716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32105600).

20716992 is an abundant number, since it is smaller than the sum of its proper divisors (43494208).

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

20716992 is a wasteful number, since it uses less digits than its factorization.

20716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 20716992 is about 4551.5922488729. The cubic root of 20716992 is about 274.6474468385.

The spelling of 20716992 in words is "twenty million, seven hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 631 684 864 912 1026 1216 1262 1368 1728 1824 1893 2052 2524 2736 3648 3786 4104 5048 5472 5679 7572 8208 10096 10944 11358 11989 15144 16416 17037 20192 22716 23978 30288 32832 34074 35967 40384 45432 47956 60576 68148 71934 90864 95912 107901 121152 136296 143868 181728 191824 215802 272592 287736 323703 363456 383648 431604 545184 575472 647406 767296 863208 1090368 1150944 1294812 1726416 2301888 2589624 3452832 5179248 6905664 10358496 20716992