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13711320 = 2332575441
BaseRepresentation
bin110100010011…
…011111011000
3221210121101200
4310103133120
512002230240
61205514200
7224354460
oct64233730
927717350
1013711320
117815577
124712960
132ac0c0c
141b6cba0
15130c930
hexd137d8

13711320 has 96 divisors (see below), whose sum is σ = 50937120. Its totient is φ = 3133440.

The previous prime is 13711297. The next prime is 13711337. The reversal of 13711320 is 2311731.

It is a super-2 number, since 2×137113202 = 376000592284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13711293 and 13711302.

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 23 ways as a sum of consecutive naturals, for example, 201 + ... + 5240.

It is an arithmetic number, because the mean of its divisors is an integer number (530595).

Almost surely, 213711320 is an apocalyptic number.

13711320 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 13711320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25468560).

13711320 is an abundant number, since it is smaller than the sum of its proper divisors (37225800).

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

13711320 is a wasteful number, since it uses less digits than its factorization.

13711320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13711320 is about 3702.8799602472. The cubic root of 13711320 is about 239.3461368804.

The spelling of 13711320 in words is "thirteen million, seven hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5441 10882 16323 21764 27205 32646 38087 43528 48969 54410 65292 76174 81615 97938 108820 114261 130584 152348 163230 190435 195876 217640 228522 244845 304696 326460 342783 380870 391752 457044 489690 571305 652920 685566 761740 914088 979380 1142610 1371132 1523480 1713915 1958760 2285220 2742264 3427830 4570440 6855660 13711320