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14087892 = 22372131997
BaseRepresentation
bin110101101111…
…011011010100
3222111201221210
4311233123110
512101303032
61221541420
7230513400
oct65573324
928451853
1014087892
117a52495
124874870
132bc3440
141c2a100
1513842cc
hexd6f6d4

14087892 has 144 divisors (see below), whose sum is σ = 43794240. Its totient is φ = 3483648.

The previous prime is 14087819. The next prime is 14087897. The reversal of 14087892 is 29878041.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14087892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14087897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145188 + ... + 145284.

Almost surely, 214087892 is an apocalyptic number.

14087892 is a gapful number since it is divisible by the number (12) 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 14087892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21897120).

14087892 is an abundant number, since it is smaller than the sum of its proper divisors (29706348).

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

14087892 is a wasteful number, since it uses less digits than its factorization.

14087892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 14087892 is about 3753.3840730733. The cubic root of 14087892 is about 241.5175370588.

The spelling of 14087892 in words is "fourteen million, eighty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 97 98 114 133 147 156 182 194 196 228 247 266 273 291 294 364 388 399 494 532 546 582 588 637 679 741 798 931 988 1092 1164 1261 1274 1358 1482 1596 1729 1843 1862 1911 2037 2522 2548 2716 2793 2964 3458 3686 3724 3783 3822 4074 4753 5044 5187 5529 5586 6916 7372 7566 7644 8148 8827 9506 10374 11058 11172 12103 12901 14259 15132 17654 19012 20748 22116 23959 24206 25802 26481 28518 35308 36309 38703 47918 48412 51604 52962 57036 61789 71877 72618 77406 90307 95836 105924 123578 143754 145236 154812 167713 180614 185367 247156 270921 287508 335426 361228 370734 503139 541842 670852 741468 1006278 1083684 1173991 2012556 2347982 3521973 4695964 7043946 14087892