Search a number
-
+
14057232 = 24371723107
BaseRepresentation
bin110101100111…
…111100010000
3222110011220020
4311213330100
512044312412
61221143440
7230325120
oct65477420
928404806
1014057232
117a31452
12485ab80
132bb24b7
141c1cc80
15137a18c
hexd67f10

14057232 has 160 divisors (see below), whose sum is σ = 46282752. Its totient is φ = 3581952.

The previous prime is 14057231. The next prime is 14057233. The reversal of 14057232 is 23275041.

It is an interprime number because it is at equal distance from previous prime (14057231) and next prime (14057233).

It is a super-3 number, since 3×140572323 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131323 + ... + 131429.

Almost surely, 214057232 is an apocalyptic number.

14057232 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 14057232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141376).

14057232 is an abundant number, since it is smaller than the sum of its proper divisors (32225520).

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

14057232 is a wasteful number, since it uses less digits than its factorization.

14057232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 14057232 is about 3749.2975342056. The cubic root of 14057232 is about 241.3422019539.

The spelling of 14057232 in words is "fourteen million, fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 107 112 119 136 138 161 168 184 204 214 238 272 276 321 322 336 357 368 391 408 428 476 483 552 642 644 714 749 782 816 856 952 966 1104 1173 1284 1288 1428 1498 1564 1712 1819 1904 1932 2247 2346 2461 2568 2576 2737 2856 2996 3128 3638 3864 4494 4692 4922 5136 5457 5474 5712 5992 6256 7276 7383 7728 8211 8988 9384 9844 10914 10948 11984 12733 14552 14766 16422 17227 17976 18768 19688 21828 21896 25466 29104 29532 32844 34454 35952 38199 39376 41837 43656 43792 50932 51681 59064 65688 68908 76398 83674 87312 101864 103362 118128 125511 131376 137816 152796 167348 203728 206724 251022 275632 292859 305592 334696 413448 502044 585718 611184 669392 826896 878577 1004088 1171436 1757154 2008176 2342872 3514308 4685744 7028616 14057232