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13411640 = 23511217163
BaseRepresentation
bin110011001010…
…010100111000
3221020101022102
4303022110320
511413133030
61155242532
7221665664
oct63122470
927211272
1013411640
117630400
1245a9448
132a176a8
141ad18a4
15129dc45
hexcca538

13411640 has 96 divisors (see below), whose sum is σ = 35335440. Its totient is φ = 4561920.

The previous prime is 13411621. The next prime is 13411661. The reversal of 13411640 is 4611431.

13411640 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82199 + ... + 82361.

Almost surely, 213411640 is an apocalyptic number.

13411640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667720).

13411640 is an abundant number, since it is smaller than the sum of its proper divisors (21923800).

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

13411640 is a wasteful number, since it uses less digits than its factorization.

13411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13411640 is about 3662.1906012659. The cubic root of 13411640 is about 237.5895285737.

The spelling of 13411640 in words is "thirteen million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 163 170 187 220 242 326 340 374 440 484 605 652 680 748 815 935 968 1210 1304 1496 1630 1793 1870 2057 2420 2771 3260 3586 3740 4114 4840 5542 6520 7172 7480 8228 8965 10285 11084 13855 14344 16456 17930 19723 20570 22168 27710 30481 35860 39446 41140 55420 60962 71720 78892 82280 98615 110840 121924 152405 157784 197230 243848 304810 335291 394460 609620 670582 788920 1219240 1341164 1676455 2682328 3352910 6705820 13411640