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14088120 = 23351937167
BaseRepresentation
bin110101101111…
…011110111000
3222111202021020
4311233132320
512101304440
61221542440
7230514144
oct65573670
928452236
1014088120
117a52682
124874a20
132bc3587
141c2a224
1513843d0
hexd6f7b8

14088120 has 128 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 3442176.

The previous prime is 14088119. The next prime is 14088131. The reversal of 14088120 is 2188041.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 84277 + ... + 84443.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 214088120 is an apocalyptic number.

14088120 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 14088120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

14088120 is an abundant number, since it is smaller than the sum of its proper divisors (31876680).

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

14088120 is a wasteful number, since it uses less digits than its factorization.

14088120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 14088120 is about 3753.4144455416. The cubic root of 14088120 is about 241.5188399672.

The spelling of 14088120 in words is "fourteen million, eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 167 185 190 222 228 285 296 334 370 380 444 456 501 555 570 668 703 740 760 835 888 1002 1110 1140 1336 1406 1480 1670 2004 2109 2220 2280 2505 2812 3173 3340 3515 4008 4218 4440 5010 5624 6179 6346 6680 7030 8436 9519 10020 10545 12358 12692 14060 15865 16872 18537 19038 20040 21090 24716 25384 28120 30895 31730 37074 38076 42180 47595 49432 61790 63460 74148 76152 84360 92685 95190 117401 123580 126920 148296 185370 190380 234802 247160 352203 370740 380760 469604 587005 704406 741480 939208 1174010 1408812 1761015 2348020 2817624 3522030 4696040 7044060 14088120