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20476368 = 24331131139
BaseRepresentation
bin100111000011…
…1000111010000
31102112022022000
41032013013100
520220220433
62010514000
7336021603
oct116070720
942468260
1020476368
1110616220
126a35900
13431c1c3
142a1033a
151be7113
hex13871d0

20476368 has 160 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 5961600.

The previous prime is 20476367. The next prime is 20476387. The reversal of 20476368 is 86367402.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20476361) 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 31 ways as a sum of consecutive naturals, for example, 147243 + ... + 147381.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 220476368 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 20476368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

20476368 is an abundant number, since it is smaller than the sum of its proper divisors (46186032).

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

20476368 is a wasteful number, since it uses less digits than its factorization.

20476368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 20476368 is about 4525.0820987027. The cubic root of 20476368 is about 273.5799769896.

The spelling of 20476368 in words is "twenty million, four hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 139 144 176 186 198 216 248 264 278 279 297 341 372 396 417 432 496 528 556 558 594 682 744 792 834 837 1023 1112 1116 1188 1251 1364 1488 1529 1584 1668 1674 2046 2224 2232 2376 2502 2728 3058 3069 3336 3348 3753 4092 4309 4464 4587 4752 5004 5456 6116 6138 6672 6696 7506 8184 8618 9174 9207 10008 12232 12276 12927 13392 13761 15012 16368 17236 18348 18414 20016 24464 24552 25854 27522 30024 34472 36696 36828 38781 41283 47399 49104 51708 55044 60048 68944 73392 73656 77562 82566 94798 103416 110088 116343 142197 147312 155124 165132 189596 206832 220176 232686 284394 310248 330264 379192 426591 465372 568788 620496 660528 758384 853182 930744 1137576 1279773 1706364 1861488 2275152 2559546 3412728 5119092 6825456 10238184 20476368