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13764168 = 2334111931
BaseRepresentation
bin110100100000…
…011001001000
3221220021220000
4310200121020
512010423133
61211003000
7224664525
oct64403110
927807800
1013764168
117851250
124739460
132b0bca2
141b8414c
15131d413
hexd20648

13764168 has 80 divisors (see below), whose sum is σ = 42078960. Its totient is φ = 4168800.

The previous prime is 13764167. The next prime is 13764221. The reversal of 13764168 is 86146731.

13764168 is a `hidden beast` number, since 1 + 3 + 7 + 641 + 6 + 8 = 666.

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 (13764167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6163 + ... + 8093.

It is an arithmetic number, because the mean of its divisors is an integer number (525987).

Almost surely, 213764168 is an apocalyptic number.

13764168 is a gapful number since it is divisible by the number (18) 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 13764168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039480).

13764168 is an abundant number, since it is smaller than the sum of its proper divisors (28314792).

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

13764168 is a wasteful number, since it uses less digits than its factorization.

13764168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1947 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13764168 is about 3710.0091644092. The cubic root of 13764168 is about 239.6532492576.

The spelling of 13764168 in words is "thirteen million, seven hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 1931 2376 3564 3862 5793 7128 7724 11586 15448 17379 21241 23172 34758 42482 46344 52137 63723 69516 84964 104274 127446 139032 156411 169928 191169 208548 254892 312822 382338 417096 509784 573507 625644 764676 1147014 1251288 1529352 1720521 2294028 3441042 4588056 6882084 13764168