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13914180 = 223557409
BaseRepresentation
bin110101000101…
…000001000100
3222011220200000
4311011001010
512030223210
61214121300
7226161060
oct65050104
928156600
1013914180
117943a25
1247b0230
132b62357
141bc2aa0
15134cac0
hexd45044

13914180 has 144 divisors (see below), whose sum is σ = 50144640. Its totient is φ = 3172608.

The previous prime is 13914179. The next prime is 13914193. The reversal of 13914180 is 8141931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33816 + ... + 34224.

Almost surely, 213914180 is an apocalyptic number.

13914180 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 13914180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25072320).

13914180 is an abundant number, since it is smaller than the sum of its proper divisors (36230460).

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

13914180 is a wasteful number, since it uses less digits than its factorization.

13914180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13914180 is about 3730.1715778232. The cubic root of 13914180 is about 240.5207442886.

The spelling of 13914180 in words is "thirteen million, nine hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 409 420 486 540 567 630 756 810 818 945 972 1134 1215 1227 1260 1620 1636 1701 1890 2045 2268 2430 2454 2835 2863 3402 3681 3780 4090 4860 4908 5670 5726 6135 6804 7362 8180 8505 8589 11043 11340 11452 12270 14315 14724 17010 17178 18405 22086 24540 25767 28630 33129 34020 34356 36810 42945 44172 51534 55215 57260 66258 73620 77301 85890 99387 103068 110430 128835 132516 154602 165645 171780 198774 220860 231903 257670 309204 331290 386505 397548 463806 496935 515340 662580 695709 773010 927612 993870 1159515 1391418 1546020 1987740 2319030 2782836 3478545 4638060 6957090 13914180