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14168520 = 233454373
BaseRepresentation
bin110110000011…
…000111001000
3222122211120000
4312003013020
512111343040
61223403000
7231300432
oct66030710
928584500
1014168520
117aa8023
1248b3460
132c21052
141c4b652
15139d130
hexd831c8

14168520 has 80 divisors (see below), whose sum is σ = 47632860. Its totient is φ = 3777408.

The previous prime is 14168513. The next prime is 14168537. The reversal of 14168520 is 2586141.

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 15876 = 3762^2 + 126^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 1054 + ... + 5426.

Almost surely, 214168520 is an apocalyptic number.

14168520 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 14168520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816430).

14168520 is an abundant number, since it is smaller than the sum of its proper divisors (33464340).

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

14168520 is a wasteful number, since it uses less digits than its factorization.

14168520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14168520 is about 3764.1094564319. The cubic root of 14168520 is about 241.9774129136.

The spelling of 14168520 in words is "fourteen million, one hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 4373 8746 13119 17492 21865 26238 34984 39357 43730 52476 65595 78714 87460 104952 118071 131190 157428 174920 196785 236142 262380 314856 354213 393570 472284 524760 590355 708426 787140 944568 1180710 1416852 1574280 1771065 2361420 2833704 3542130 4722840 7084260 14168520