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14032928 = 257136179
BaseRepresentation
bin110101100010…
…000000100000
3222101221120002
4311202000200
512043023203
61220435132
7230164220
oct65420040
928357502
1014032928
117a15168
124848aa8
132ba4410
141c14080
151372d88
hexd62020

14032928 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 5391360.

The previous prime is 14032927. The next prime is 14032933. The reversal of 14032928 is 82923041.

It is a self number, because there is not a number n which added to its sum of digits gives 14032928.

It is not an unprimeable number, because it can be changed into a prime (14032927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177593 + ... + 177671.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 214032928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

14032928 is an abundant number, since it is smaller than the sum of its proper divisors (20964832).

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

14032928 is a wasteful number, since it uses less digits than its factorization.

14032928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 14032928 is about 3746.0549915878. The cubic root of 14032928 is about 241.2030336235.

Adding to 14032928 its reverse (82923041), we get a palindrome (96955969).

The spelling of 14032928 in words is "fourteen million, thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 79 91 104 112 122 158 182 208 224 244 316 364 416 427 488 553 632 728 793 854 976 1027 1106 1264 1456 1586 1708 1952 2054 2212 2528 2912 3172 3416 4108 4424 4819 5551 6344 6832 7189 8216 8848 9638 11102 12688 13664 14378 16432 17696 19276 22204 25376 28756 32864 33733 38552 44408 57512 62647 67466 77104 88816 115024 125294 134932 154208 177632 230048 250588 269864 438529 501176 539728 877058 1002352 1079456 1754116 2004704 3508232 7016464 14032928