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13937253 = 3114110301
BaseRepresentation
bin110101001010…
…101001100101
3222020002022120
4311022221211
512031443003
61214420153
7226315251
oct65125145
928202276
1013937253
11795a2a0
124801659
132b6c9c5
141bcb261
151354853
hexd4aa65

13937253 has 16 divisors (see below), whose sum is σ = 20768832. Its totient is φ = 8240000.

The previous prime is 13937249. The next prime is 13937257. The reversal of 13937253 is 35273931.

13937253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13937249) and next prime (13937257).

It is a cyclic number.

It is not a de Polignac number, because 13937253 - 22 = 13937249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3798 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (1298052).

Almost surely, 213937253 is an apocalyptic number.

It is an amenable number.

13937253 is a deficient number, since it is larger than the sum of its proper divisors (6831579).

13937253 is a wasteful number, since it uses less digits than its factorization.

13937253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356.

The product of its digits is 17010, while the sum is 33.

The square root of 13937253 is about 3733.2630499337. The cubic root of 13937253 is about 240.6536176230.

It can be divided in two parts, 1393 and 7253, that added together give a triangular number (8646 = T131).

The spelling of 13937253 in words is "thirteen million, nine hundred thirty-seven thousand, two hundred fifty-three".

Divisors: 1 3 11 33 41 123 451 1353 10301 30903 113311 339933 422341 1267023 4645751 13937253