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13813830 = 2325153487
BaseRepresentation
bin110100101100…
…100001000110
3221222211000100
4310230201012
512014020310
61212024530
7225262362
oct64544106
927884010
1013813830
117885598
124762146
132b28784
141b982a2
15132cec0
hexd2c846

13813830 has 24 divisors (see below), whose sum is σ = 35916192. Its totient is φ = 3683664.

The previous prime is 13813829. The next prime is 13813841. The reversal of 13813830 is 3831831.

It is a super-3 number, since 3×138138303 (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13813794 and 13813803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76654 + ... + 76833.

It is an arithmetic number, because the mean of its divisors is an integer number (1496508).

Almost surely, 213813830 is an apocalyptic number.

13813830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13813830 is an abundant number, since it is smaller than the sum of its proper divisors (22102362).

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

13813830 is a wasteful number, since it uses less digits than its factorization.

13813830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153500 (or 153497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13813830 is about 3716.6961134857. The cubic root of 13813830 is about 239.9411313949.

The spelling of 13813830 in words is "thirteen million, eight hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 153487 306974 460461 767435 920922 1381383 1534870 2302305 2762766 4604610 6906915 13813830