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13856340 = 2235230939
BaseRepresentation
bin110100110110…
…111001010100
3222001222022210
4310312321110
512021400330
61212553420
7225530331
oct64667124
928058283
1013856340
117904523
124782870
132b41c24
141ba9988
15133a8b0
hexd36e54

13856340 has 24 divisors (see below), whose sum is σ = 38797920. Its totient is φ = 3695008.

The previous prime is 13856329. The next prime is 13856369. The reversal of 13856340 is 4365831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13856298 and 13856307.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 115410 + ... + 115529.

It is an arithmetic number, because the mean of its divisors is an integer number (1616580).

Almost surely, 213856340 is an apocalyptic number.

13856340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13856340 is an abundant number, since it is smaller than the sum of its proper divisors (24941580).

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

13856340 is a wasteful number, since it uses less digits than its factorization.

13856340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230951 (or 230949 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13856340 is about 3722.4105093340. The cubic root of 13856340 is about 240.1870070248.

It can be divided in two parts, 13856 and 340, that added together give a triangular number (14196 = T168).

The spelling of 13856340 in words is "thirteen million, eight hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 230939 461878 692817 923756 1154695 1385634 2309390 2771268 3464085 4618780 6928170 13856340