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13893360 = 2435136173
BaseRepresentation
bin110100111111…
…111011110000
3222010212002220
4310333323300
512024041420
61213441040
7226043265
oct64777360
928125086
1013893360
11792a318
1247a0180
132b55a30
141bb926c
151346840
hexd3fef0

13893360 has 160 divisors (see below), whose sum is σ = 47788608. Its totient is φ = 3317760.

The previous prime is 13893353. The next prime is 13893371. The reversal of 13893360 is 6339831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190284 + ... + 190356.

Almost surely, 213893360 is an apocalyptic number.

13893360 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 13893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23894304).

13893360 is an abundant number, since it is smaller than the sum of its proper divisors (33895248).

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

13893360 is a wasteful number, since it uses less digits than its factorization.

13893360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13893360 is about 3727.3797767332. The cubic root of 13893360 is about 240.4007194495.

The spelling of 13893360 in words is "thirteen million, eight hundred ninety-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 73 78 80 104 120 122 130 146 156 183 195 208 219 240 244 260 292 305 312 365 366 390 438 488 520 584 610 624 730 732 780 793 876 915 949 976 1040 1095 1168 1220 1460 1464 1560 1586 1752 1830 1898 2190 2379 2440 2847 2920 2928 3120 3172 3504 3660 3796 3965 4380 4453 4745 4758 4880 5694 5840 6344 7320 7592 7930 8760 8906 9490 9516 11388 11895 12688 13359 14235 14640 15184 15860 17520 17812 18980 19032 22265 22776 23790 26718 28470 31720 35624 37960 38064 44530 45552 47580 53436 56940 57889 63440 66795 71248 75920 89060 95160 106872 113880 115778 133590 173667 178120 190320 213744 227760 231556 267180 289445 347334 356240 463112 534360 578890 694668 868335 926224 1068720 1157780 1389336 1736670 2315560 2778672 3473340 4631120 6946680 13893360