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13768122 = 2319235989
BaseRepresentation
bin110100100001…
…010110111010
3221220111022110
4310201112322
512011034442
61211033150
7225012204
oct64412672
927814273
1013768122
117854215
12473b7b6
132b10a24
141b85774
15131e69c
hexd215ba

13768122 has 64 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 4042368.

The previous prime is 13768109. The next prime is 13768129. The reversal of 13768122 is 22186731.

13768122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137681222 = 379122366813768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13768122.

It is not an unprimeable number, because it can be changed into a prime (13768129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154654 + ... + 154742.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 213768122 is an apocalyptic number.

13768122 is an abundant number, since it is smaller than the sum of its proper divisors (17335878).

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

13768122 is a wasteful number, since it uses less digits than its factorization.

13768122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195.

The product of its digits is 4032, while the sum is 30.

The square root of 13768122 is about 3710.5420089254. The cubic root of 13768122 is about 239.6761952680.

The spelling of 13768122 in words is "thirteen million, seven hundred sixty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 23 38 46 57 59 69 89 114 118 138 177 178 267 354 437 534 874 1121 1311 1357 1691 2047 2242 2622 2714 3363 3382 4071 4094 5073 5251 6141 6726 8142 10146 10502 12282 15753 25783 31506 38893 51566 77349 77786 99769 116679 120773 154698 199538 233358 241546 299307 362319 598614 724638 2294687 4589374 6884061 13768122