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14258112 = 2631143157
BaseRepresentation
bin110110011000…
…111111000000
3222211101110020
4312120333000
512122224422
61225333440
7232122561
oct66307700
928741406
1014258112
118059370
124937280
132c52a6b
141c72168
1513b995c
hexd98fc0

14258112 has 112 divisors (see below), whose sum is σ = 42379392. Its totient is φ = 4193280.

The previous prime is 14258077. The next prime is 14258129. The reversal of 14258112 is 21185241.

14258112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 90738 + ... + 90894.

Almost surely, 214258112 is an apocalyptic number.

14258112 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 14258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189696).

14258112 is an abundant number, since it is smaller than the sum of its proper divisors (28121280).

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

14258112 is a wasteful number, since it uses less digits than its factorization.

14258112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 14258112 is about 3775.9915254142. The cubic root of 14258112 is about 242.4863746906.

The spelling of 14258112 in words is "fourteen million, two hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 157 172 176 192 258 264 314 344 352 471 473 516 528 628 688 704 942 946 1032 1056 1256 1376 1419 1727 1884 1892 2064 2112 2512 2752 2838 3454 3768 3784 4128 5024 5181 5676 6751 6908 7536 7568 8256 10048 10362 11352 13502 13816 15072 15136 20253 20724 22704 27004 27632 30144 30272 40506 41448 45408 54008 55264 74261 81012 82896 90816 108016 110528 148522 162024 165792 216032 222783 297044 324048 331584 432064 445566 594088 648096 891132 1188176 1296192 1782264 2376352 3564528 4752704 7129056 14258112