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20953656 = 23321721953
BaseRepresentation
bin100111111101…
…1101000111000
31110102120000100
41033323220320
520331004111
62025035400
7343050243
oct117735070
943376010
1020953656
1110911879
127025b60
134458519
142ad625a
151c8d756
hex13fba38

20953656 has 144 divisors (see below), whose sum is σ = 64654200. Its totient is φ = 6110208.

The previous prime is 20953643. The next prime is 20953663. The reversal of 20953656 is 65635902.

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 20953656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395326 + ... + 395378.

Almost surely, 220953656 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 20953656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32327100).

20953656 is an abundant number, since it is smaller than the sum of its proper divisors (43700544).

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

20953656 is a wasteful number, since it uses less digits than its factorization.

20953656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 20953656 is about 4577.5163571526. The cubic root of 20953656 is about 275.6893164421.

It can be divided in two parts, 20953 and 656, that added together give a square (21609 = 1472).

The spelling of 20953656 in words is "twenty million, nine hundred fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 53 57 68 72 76 102 106 114 136 152 153 159 171 204 212 228 289 306 318 323 342 408 424 456 477 578 612 636 646 684 867 901 954 969 1007 1156 1224 1272 1292 1368 1734 1802 1908 1938 2014 2312 2584 2601 2703 2907 3021 3468 3604 3816 3876 4028 5202 5406 5491 5814 6042 6936 7208 7752 8056 8109 9063 10404 10812 10982 11628 12084 15317 16218 16473 17119 18126 20808 21624 21964 23256 24168 30634 32436 32946 34238 36252 43928 45951 49419 51357 61268 64872 65892 68476 72504 91902 98838 102714 122536 131784 136952 137853 154071 183804 197676 205428 275706 291023 308142 367608 395352 410856 551412 582046 616284 873069 1102824 1164092 1232568 1746138 2328184 2619207 3492276 5238414 6984552 10476828 20953656