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14078376 = 233213389
BaseRepresentation
bin110101101101…
…000110101000
3222111020220100
4311231012220
512101002001
61221425400
7230443554
oct65550650
928436810
1014078376
117a46324
12486b260
132bbc000
141c26864
151381586
hexd6d1a8

14078376 has 96 divisors (see below), whose sum is σ = 41769000. Its totient is φ = 4283136.

The previous prime is 14078327. The next prime is 14078387. The reversal of 14078376 is 67387041.

14078376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 14062500 = 126^2 + 3750^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14078376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158140 + ... + 158228.

Almost surely, 214078376 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 14078376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884500).

14078376 is an abundant number, since it is smaller than the sum of its proper divisors (27690624).

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

14078376 is a wasteful number, since it uses less digits than its factorization.

14078376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14078376 is about 3752.1162028914. The cubic root of 14078376 is about 241.4631452318.

The spelling of 14078376 in words is "fourteen million, seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 89 104 117 156 169 178 234 267 312 338 356 468 507 534 676 712 801 936 1014 1068 1157 1352 1521 1602 2028 2136 2197 2314 3042 3204 3471 4056 4394 4628 6084 6408 6591 6942 8788 9256 10413 12168 13182 13884 15041 17576 19773 20826 26364 27768 30082 39546 41652 45123 52728 60164 79092 83304 90246 120328 135369 158184 180492 195533 270738 360984 391066 541476 586599 782132 1082952 1173198 1564264 1759797 2346396 3519594 4692792 7039188 14078376