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14137032 = 2337136473
BaseRepresentation
bin110101111011…
…011011001000
3222121020100210
4311323123020
512104341112
61223001120
7231106560
oct65733310
928536323
1014137032
117a863a8
1248991a0
132c0c910
141c3dda0
151393b3c
hexd7b6c8

14137032 has 64 divisors (see below), whose sum is σ = 43505280. Its totient is φ = 3727872.

The previous prime is 14137031. The next prime is 14137063. The reversal of 14137032 is 23073141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14137031) 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, 1053 + ... + 5420.

It is an arithmetic number, because the mean of its divisors is an integer number (679770).

Almost surely, 214137032 is an apocalyptic number.

14137032 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 14137032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752640).

14137032 is an abundant number, since it is smaller than the sum of its proper divisors (29368248).

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

14137032 is a wasteful number, since it uses less digits than its factorization.

14137032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 14137032 is about 3759.9244673264. The cubic root of 14137032 is about 241.7980237661.

It can be divided in two parts, 141 and 37032, that added together give a palindrome (37173).

The spelling of 14137032 in words is "fourteen million, one hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6473 12946 19419 25892 38838 45311 51784 77676 84149 90622 135933 155352 168298 181244 252447 271866 336596 362488 504894 543732 589043 673192 1009788 1087464 1178086 1767129 2019576 2356172 3534258 4712344 7068516 14137032