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14420160 = 263351669
BaseRepresentation
bin110111000000…
…100011000000
31000010121202000
4313000203000
512142421120
61233024000
7233366166
oct67004300
930117660
1014420160
11815a097
1249b5000
132cab751
141cb5236
1513ec990
hexdc08c0

14420160 has 112 divisors (see below), whose sum is σ = 50901600. Its totient is φ = 3843072.

The previous prime is 14420143. The next prime is 14420251. The reversal of 14420160 is 6102441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7806 + ... + 9474.

Almost surely, 214420160 is an apocalyptic number.

14420160 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 14420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25450800).

14420160 is an abundant number, since it is smaller than the sum of its proper divisors (36481440).

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

14420160 is a wasteful number, since it uses less digits than its factorization.

14420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14420160 is about 3797.3885763772. The cubic root of 14420160 is about 243.4015613186.

The spelling of 14420160 in words is "fourteen million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1669 1728 2160 2880 3338 4320 5007 6676 8345 8640 10014 13352 15021 16690 20028 25035 26704 30042 33380 40056 45063 50070 53408 60084 66760 75105 80112 90126 100140 106816 120168 133520 150210 160224 180252 200280 225315 240336 267040 300420 320448 360504 400560 450630 480672 534080 600840 721008 801120 901260 961344 1201680 1442016 1602240 1802520 2403360 2884032 3605040 4806720 7210080 14420160