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13640088 = 233711361
BaseRepresentation
bin110100000010…
…000110011000
3221122222200110
4310002012120
511442440323
61204204320
7223640010
oct64020630
927588613
1013640088
117777000
1246996a0
132a97677
141b50c40
1512e6793
hexd02198

13640088 has 128 divisors (see below), whose sum is σ = 43568640. Its totient is φ = 3484800.

The previous prime is 13640071. The next prime is 13640089. The reversal of 13640088 is 88004631.

It is a happy number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223578 + ... + 223638.

It is an arithmetic number, because the mean of its divisors is an integer number (340380).

Almost surely, 213640088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13640088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784320).

13640088 is an abundant number, since it is smaller than the sum of its proper divisors (29928552).

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

13640088 is a wasteful number, since it uses less digits than its factorization.

13640088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13640088 is about 3693.2489761726. The cubic root of 13640088 is about 238.9309394718.

The spelling of 13640088 in words is "thirteen million, six hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 61 66 77 84 88 121 122 132 154 168 183 231 242 244 264 308 363 366 427 462 484 488 616 671 726 732 847 854 924 968 1281 1331 1342 1452 1464 1694 1708 1848 2013 2541 2562 2662 2684 2904 3388 3416 3993 4026 4697 5082 5124 5324 5368 6776 7381 7986 8052 9317 9394 10164 10248 10648 14091 14762 15972 16104 18634 18788 20328 22143 27951 28182 29524 31944 37268 37576 44286 51667 55902 56364 59048 74536 81191 88572 103334 111804 112728 155001 162382 177144 206668 223608 243573 310002 324764 413336 487146 568337 620004 649528 974292 1136674 1240008 1705011 1948584 2273348 3410022 4546696 6820044 13640088