Search a number
-
+
13393674 = 235731127
BaseRepresentation
bin110011000101…
…111100001010
3221012110200000
4303011330022
511412044144
61155023430
7221562420
oct63057412
927173600
1013393674
117618958
12459ab76
132a0c468
141ac9110
151298769
hexcc5f0a

13393674 has 96 divisors (see below), whose sum is σ = 35782656. Its totient is φ = 3674160.

The previous prime is 13393661. The next prime is 13393687. The reversal of 13393674 is 47639331.

13393674 is digitally balanced in base 2 and base 8, because in such bases 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 (13393661) and next prime (13393687).

13393674 is strictly pandigital in base 8.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105399 + ... + 105525.

It is an arithmetic number, because the mean of its divisors is an integer number (372736).

Almost surely, 213393674 is an apocalyptic number.

13393674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13393674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891328).

13393674 is an abundant number, since it is smaller than the sum of its proper divisors (22388982).

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

13393674 is a wasteful number, since it uses less digits than its factorization.

13393674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13393674 is about 3659.7368757877. The cubic root of 13393674 is about 237.4833908976.

The spelling of 13393674 in words is "thirteen million, three hundred ninety-three thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 127 162 186 189 217 243 254 279 378 381 434 486 558 567 651 762 837 889 1134 1143 1302 1674 1701 1778 1953 2286 2511 2667 3402 3429 3906 3937 5022 5334 5859 6858 7533 7874 8001 10287 11718 11811 15066 16002 17577 20574 23622 24003 27559 30861 35154 35433 48006 52731 55118 61722 70866 72009 82677 105462 106299 144018 165354 212598 216027 248031 318897 432054 496062 637794 744093 956691 1488186 1913382 2232279 4464558 6696837 13393674