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14057472 = 21531113
BaseRepresentation
bin110101101000…
…000000000000
3222110012020010
4311220000000
512044314342
61221144520
7230325612
oct65500000
928405203
1014057472
117a31650
12485b140
132bb2640
141c1cdb2
15137a29c
hexd68000

14057472 has 128 divisors (see below), whose sum is σ = 44039520. Its totient is φ = 3932160.

The previous prime is 14057467. The next prime is 14057501. The reversal of 14057472 is 27475041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×140574723 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081338 + ... + 1081350.

Almost surely, 214057472 is an apocalyptic number.

14057472 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 14057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019760).

14057472 is an abundant number, since it is smaller than the sum of its proper divisors (29982048).

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

14057472 is an equidigital number, since it uses as much as digits as its factorization.

14057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 14057472 is about 3749.3295400645. The cubic root of 14057472 is about 241.3435754296.

Subtracting 14057472 from its reverse (27475041), we obtain a square (13417569 = 36632).

The spelling of 14057472 in words is "fourteen million, fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 512 528 572 624 704 768 832 858 1024 1056 1144 1248 1408 1536 1664 1716 2048 2112 2288 2496 2816 3072 3328 3432 4096 4224 4576 4992 5632 6144 6656 6864 8192 8448 9152 9984 11264 12288 13312 13728 16384 16896 18304 19968 22528 24576 26624 27456 32768 33792 36608 39936 45056 49152 53248 54912 67584 73216 79872 90112 98304 106496 109824 135168 146432 159744 180224 212992 219648 270336 292864 319488 360448 425984 439296 540672 585728 638976 878592 1081344 1171456 1277952 1757184 2342912 3514368 4685824 7028736 14057472