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14212880 = 2451131521
BaseRepresentation
bin110110001101…
…111100010000
3222202002101222
4312031330100
512114303010
61224344212
7231543653
oct66157420
928662358
1014212880
118028390
124915068
132c382b6
141c5d89a
1513ab355
hexd8df10

14212880 has 80 divisors (see below), whose sum is σ = 37283328. Its totient is φ = 4992000.

The previous prime is 14212853. The next prime is 14212903. The reversal of 14212880 is 8821241.

14212880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 27020 + ... + 27540.

Almost surely, 214212880 is an apocalyptic number.

14212880 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 14212880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641664).

14212880 is an abundant number, since it is smaller than the sum of its proper divisors (23070448).

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

14212880 is a wasteful number, since it uses less digits than its factorization.

14212880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 14212880 is about 3769.9973474792. The cubic root of 14212880 is about 242.2296842648.

The spelling of 14212880 in words is "fourteen million, two hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 521 620 682 880 1042 1240 1364 1705 2084 2480 2605 2728 3410 4168 5210 5456 5731 6820 8336 10420 11462 13640 16151 20840 22924 27280 28655 32302 41680 45848 57310 64604 80755 91696 114620 129208 161510 177661 229240 258416 323020 355322 458480 646040 710644 888305 1292080 1421288 1776610 2842576 3553220 7106440 14212880