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13067054 = 27111361107
BaseRepresentation
bin110001110110…
…001100101110
3220120212121222
4301312030232
511321121204
61144023342
7216032240
oct61661456
926525558
1013067054
117415520
124461b52
1329268b0
141a42090
151231abe
hexc7632e

13067054 has 64 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4579200.

The previous prime is 13067051. The next prime is 13067063. The reversal of 13067054 is 45076031.

13067054 = T1 + T2 + ... + T427.

13067054 is a nontrivial binomial coefficient, being equal to C(429, 3).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13067051) by changing a digit.

It is the 427-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122069 + ... + 122175.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 213067054 is an apocalyptic number.

13067054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13067054 is an abundant number, since it is smaller than the sum of its proper divisors (13931218).

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

13067054 is a wasteful number, since it uses less digits than its factorization.

13067054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 13067054 is about 3614.8380323328. The cubic root of 13067054 is about 235.5370484880.

The spelling of 13067054 in words is "thirteen million, sixty-seven thousand, fifty-four".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 107 122 143 154 182 214 286 427 671 749 793 854 1001 1177 1342 1391 1498 1586 2002 2354 2782 4697 5551 6527 8239 8723 9394 9737 11102 13054 15301 16478 17446 19474 30602 45689 61061 71797 84851 91378 107107 122122 143594 169702 214214 502579 593957 933361 1005158 1187914 1866722 6533527 13067054