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14045460 = 223511131637
BaseRepresentation
bin110101100101…
…000100010100
3222102120202020
4311211010110
512043423320
61221013140
7230245602
oct65450424
928376666
1014045460
117a23620
1248541b0
132baa030
141c18872
151376940
hexd65114

14045460 has 96 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 3141120.

The previous prime is 14045453. The next prime is 14045461. The reversal of 14045460 is 6454041.

It is a super-2 number, since 2×140454602 = 394549893223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14045460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045461) 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, 7762 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 214045460 is an apocalyptic number.

14045460 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 14045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

14045460 is an abundant number, since it is smaller than the sum of its proper divisors (32185452).

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

14045460 is a wasteful number, since it uses less digits than its factorization.

14045460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14045460 is about 3747.7273113182. The cubic root of 14045460 is about 241.2748137739.

The spelling of 14045460 in words is "fourteen million, forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1637 1716 2145 2860 3274 4290 4911 6548 8185 8580 9822 16370 18007 19644 21281 24555 32740 36014 42562 49110 54021 63843 72028 85124 90035 98220 106405 108042 127686 180070 212810 216084 234091 255372 270105 319215 360140 425620 468182 540210 638430 702273 936364 1080420 1170455 1276860 1404546 2340910 2809092 3511365 4681820 7022730 14045460