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20993076 = 223213311447
BaseRepresentation
bin101000000010…
…1010000110100
31110111120002100
41100011100310
520333234301
62025542100
7343303206
oct120052064
943446070
1020993076
1110939455
127044930
134470450
142b06776
151c9a286
hex1405434

20993076 has 72 divisors (see below), whose sum is σ = 59032064. Its totient is φ = 6246720.

The previous prime is 20993059. The next prime is 20993083. The reversal of 20993076 is 67039902.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20993076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13785 + ... + 15231.

Almost surely, 220993076 is an apocalyptic number.

20993076 is a gapful number since it is divisible by the number (26) 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 20993076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516032).

20993076 is an abundant number, since it is smaller than the sum of its proper divisors (38038988).

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

20993076 is a wasteful number, since it uses less digits than its factorization.

20993076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 20993076 is about 4581.8201623372. The cubic root of 20993076 is about 275.8620924145.

The spelling of 20993076 in words is "twenty million, nine hundred ninety-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1447 1612 2418 2894 3627 4341 4836 5788 7254 8682 13023 14508 17364 18811 26046 37622 44857 52092 56433 75244 89714 112866 134571 169299 179428 225732 269142 338598 403713 538284 583141 677196 807426 1166282 1614852 1749423 2332564 3498846 5248269 6997692 10496538 20993076