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13814730 = 2325296779
BaseRepresentation
bin110100101100…
…101111001010
3221222212020200
4310230233022
512014032410
61212033030
7225265116
oct64545712
927885220
1013814730
117886236
124762776
132b28cc7
141b98746
15132d3c0
hexd2cbca

13814730 has 96 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3459456.

The previous prime is 13814719. The next prime is 13814753. The reversal of 13814730 is 3741831.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13814694 and 13814703.

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 47 ways as a sum of consecutive naturals, for example, 174831 + ... + 174909.

It is an arithmetic number, because the mean of its divisors is an integer number (397800).

Almost surely, 213814730 is an apocalyptic number.

13814730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

13814730 is an abundant number, since it is smaller than the sum of its proper divisors (24374070).

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

13814730 is a wasteful number, since it uses less digits than its factorization.

13814730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13814730 is about 3716.8171867876. The cubic root of 13814730 is about 239.9463421710.

The spelling of 13814730 in words is "thirteen million, eight hundred fourteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 79 87 90 134 145 158 174 201 237 261 290 335 395 402 435 474 522 603 670 711 790 870 1005 1185 1206 1305 1422 1943 2010 2291 2370 2610 3015 3555 3886 4582 5293 5829 6030 6873 7110 9715 10586 11455 11658 13746 15879 17487 19430 20619 22910 26465 29145 31758 34365 34974 41238 47637 52930 58290 68730 79395 87435 95274 103095 153497 158790 174870 206190 238185 306994 460491 476370 767485 920982 1381473 1534970 2302455 2762946 4604910 6907365 13814730