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13685490 = 2335713557
BaseRepresentation
bin110100001101…
…001011110010
3221202021222000
4310031023302
512000413430
61205154430
7224216250
oct64151362
927667860
1013685490
1177a8125
1246bba16
132ab2230
141b635d0
151304e60
hexd0d2f2

13685490 has 128 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 2882304.

The previous prime is 13685479. The next prime is 13685521. The reversal of 13685490 is 9458631.

13685490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24292 + ... + 24848.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 213685490 is an apocalyptic number.

13685490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13685490 is the 2340-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13685490 is an abundant number, since it is smaller than the sum of its proper divisors (31311630).

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

13685490 is a wasteful number, since it uses less digits than its factorization.

13685490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13685490 is about 3699.3904903376. The cubic root of 13685490 is about 239.1957454044.

The spelling of 13685490 in words is "thirteen million, six hundred eighty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 557 585 630 702 819 910 945 1114 1170 1365 1638 1671 1755 1890 2457 2730 2785 3342 3510 3899 4095 4914 5013 5570 7241 7798 8190 8355 10026 11697 12285 14482 15039 16710 19495 21723 23394 24570 25065 30078 35091 36205 38990 43446 50130 50687 58485 65169 70182 72410 75195 101374 105273 108615 116970 130338 150390 152061 175455 195507 210546 217230 253435 304122 325845 350910 391014 456183 506870 526365 651690 760305 912366 977535 1052730 1368549 1520610 1955070 2280915 2737098 4561830 6842745 13685490