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13967514 = 23211453
BaseRepresentation
bin110101010010…
…000010011010
3222021121211100
4311102002122
512033430024
61215212230
7226502421
oct65220232
928247740
1013967514
117980000
124817076
132b80702
141bd82b8
15135d7c9
hexd5209a

13967514 has 60 divisors (see below), whose sum is σ = 33917130. Its totient is φ = 4152720.

The previous prime is 13967449. The next prime is 13967519. The reversal of 13967514 is 41576931.

13967514 is a `hidden beast` number, since 139 + 6 + 7 + 514 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10673289 + 3294225 = 3267^2 + 1815^2 .

Its product of digits (22680) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (13967519) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 263512 + ... + 263564.

Almost surely, 213967514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13967514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958565).

13967514 is an abundant number, since it is smaller than the sum of its proper divisors (19949616).

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

13967514 is an equidigital number, since it uses as much as digits as its factorization.

13967514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 13967514 is about 3737.3137411783. The cubic root of 13967514 is about 240.8276632752.

The spelling of 13967514 in words is "thirteen million, nine hundred sixty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 954 1089 1166 1331 1749 2178 2662 3498 3993 5247 6413 7986 10494 11979 12826 14641 19239 23958 29282 38478 43923 57717 70543 87846 115434 131769 141086 211629 263538 423258 634887 775973 1269774 1551946 2327919 4655838 6983757 13967514