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20637864 = 233213171297
BaseRepresentation
bin100111010111…
…0100010101000
31102211111211100
41032232202220
520240402424
62014201400
7340263462
oct116564250
942744740
1020637864
1110716595
126ab3260
134377870
142a53132
151c29dc9
hex13ae8a8

20637864 has 96 divisors (see below), whose sum is σ = 63783720. Its totient is φ = 5971968.

The previous prime is 20637863. The next prime is 20637887. The reversal of 20637864 is 46873602.

It can be written as a sum of positive squares in 4 ways, for example, as 20520900 + 116964 = 4530^2 + 342^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (20637863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15264 + ... + 16560.

Almost surely, 220637864 is an apocalyptic number.

20637864 is a gapful number since it is divisible by the number (24) 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 20637864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891860).

20637864 is an abundant number, since it is smaller than the sum of its proper divisors (43145856).

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

20637864 is a wasteful number, since it uses less digits than its factorization.

20637864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

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

The square root of 20637864 is about 4542.8915901659. The cubic root of 20637864 is about 274.2973311672.

The spelling of 20637864 in words is "twenty million, six hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1297 1326 1768 1989 2594 2652 3891 3978 5188 5304 7782 7956 10376 11673 15564 15912 16861 22049 23346 31128 33722 44098 46692 50583 66147 67444 88196 93384 101166 132294 134888 151749 176392 198441 202332 264588 286637 303498 396882 404664 529176 573274 606996 793764 859911 1146548 1213992 1587528 1719822 2293096 2579733 3439644 5159466 6879288 10318932 20637864