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14039328 = 2531943179
BaseRepresentation
bin110101100011…
…100100100000
3222102021100010
4311203210200
512043224303
61220524520
7230221662
oct65434440
928367303
1014039328
117a19a56
124850740
132ba72c4
141c16532
151374c03
hexd63920

14039328 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4306176.

The previous prime is 14039321. The next prime is 14039339. The reversal of 14039328 is 82393041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14039295 and 14039304.

It is not an unprimeable number, because it can be changed into a prime (14039321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78343 + ... + 78521.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 214039328 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 14039328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14039328 is an abundant number, since it is smaller than the sum of its proper divisors (25877472).

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

14039328 is a wasteful number, since it uses less digits than its factorization.

14039328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14039328 is about 3746.9091261999. The cubic root of 14039328 is about 241.2396965541.

It can be divided in two parts, 1403 and 9328, that added together give a triangular number (10731 = T146).

The spelling of 14039328 in words is "fourteen million, thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 179 228 258 304 344 358 456 516 537 608 688 716 817 912 1032 1074 1376 1432 1634 1824 2064 2148 2451 2864 3268 3401 4128 4296 4902 5728 6536 6802 7697 8592 9804 10203 13072 13604 15394 17184 19608 20406 23091 26144 27208 30788 39216 40812 46182 54416 61576 78432 81624 92364 108832 123152 146243 163248 184728 246304 292486 326496 369456 438729 584972 738912 877458 1169944 1754916 2339888 3509832 4679776 7019664 14039328