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20661696 = 2633111087
BaseRepresentation
bin100111011010…
…0010111000000
31102212201112000
41032310113000
520242133241
62014504000
7340423116
oct116642700
942781460
1020661696
1110732490
126b05000
134385673
142a5bab6
151c31eb6
hex13b45c0

20661696 has 112 divisors (see below), whose sum is σ = 66324480. Its totient is φ = 6255360.

The previous prime is 20661691. The next prime is 20661703. The reversal of 20661696 is 69616602.

It is a happy number.

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 20661696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20661691) by changing a digit.

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, 18465 + ... + 19551.

Almost surely, 220661696 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 20661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

20661696 is an abundant number, since it is smaller than the sum of its proper divisors (45662784).

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

20661696 is a wasteful number, since it uses less digits than its factorization.

20661696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20661696 is about 4545.5138323406. The cubic root of 20661696 is about 274.4028740558.

The spelling of 20661696 in words is "twenty million, six hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1087 1188 1584 1728 2112 2174 2376 3168 3261 4348 4752 6336 6522 8696 9504 9783 11957 13044 17392 19008 19566 23914 26088 29349 34784 35871 39132 47828 52176 58698 69568 71742 78264 95656 104352 107613 117396 143484 156528 191312 208704 215226 234792 286968 313056 322839 382624 430452 469584 573936 626112 645678 765248 860904 939168 1147872 1291356 1721808 1878336 2295744 2582712 3443616 5165424 6887232 10330848 20661696