Search a number
-
+
14049936 = 243437293
BaseRepresentation
bin110101100110…
…001010010000
3222102210220000
4311212022100
512044044221
61221050000
7230264625
oct65461220
928383800
1014049936
117a26a1a
124856900
132bac094
141c1a34c
151377e26
hexd66290

14049936 has 100 divisors (see below), whose sum is σ = 41906172. Its totient is φ = 4541184.

The previous prime is 14049923. The next prime is 14049943. The reversal of 14049936 is 63994041.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 1089936 = 3600^2 + 1044^2 .

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 14049936.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47806 + ... + 48098.

Almost surely, 214049936 is an apocalyptic number.

14049936 is a gapful number since it is divisible by the number (16) 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 14049936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

14049936 is an abundant number, since it is smaller than the sum of its proper divisors (27856236).

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

14049936 is a wasteful number, since it uses less digits than its factorization.

14049936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 14049936 is about 3748.3244256601. The cubic root of 14049936 is about 241.3004408298.

The spelling of 14049936 in words is "fourteen million, forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 293 296 324 333 432 444 586 592 648 666 879 888 999 1172 1296 1332 1758 1776 1998 2344 2637 2664 2997 3516 3996 4688 5274 5328 5994 7032 7911 7992 10548 10841 11988 14064 15822 15984 21096 21682 23733 23976 31644 32523 42192 43364 47466 47952 63288 65046 86728 94932 97569 126576 130092 173456 189864 195138 260184 292707 379728 390276 520368 585414 780552 878121 1170828 1561104 1756242 2341656 3512484 4683312 7024968 14049936