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13761330 = 23511217223
BaseRepresentation
bin110100011111…
…101100110010
3221220010222220
4310133230302
512010330310
61210541510
7224653332
oct64375462
927803886
1013761330
11784a100
124737896
132b0a8cb
141b830c2
15131c670
hexd1fb32

13761330 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3125760.

The previous prime is 13761329. The next prime is 13761343. The reversal of 13761330 is 3316731.

It is a self number, because there is not a number n which added to its sum of digits gives 13761330.

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, 61599 + ... + 61821.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 213761330 is an apocalyptic number.

13761330 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 13761330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

13761330 is an abundant number, since it is smaller than the sum of its proper divisors (24849102).

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

13761330 is a wasteful number, since it uses less digits than its factorization.

13761330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 13761330 is about 3709.6266658520. The cubic root of 13761330 is about 239.6367769538.

The spelling of 13761330 in words is "thirteen million, seven hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 187 223 242 255 330 363 374 446 510 561 605 669 726 935 1115 1122 1210 1338 1815 1870 2057 2230 2453 2805 3345 3630 3791 4114 4906 5610 6171 6690 7359 7582 10285 11373 12265 12342 14718 18955 20570 22746 24530 26983 30855 36795 37910 41701 53966 56865 61710 73590 80949 83402 113730 125103 134915 161898 208505 250206 269830 404745 417010 458711 625515 809490 917422 1251030 1376133 2293555 2752266 4587110 6880665 13761330