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14137152 = 263292539
BaseRepresentation
bin110101111011…
…011101000000
3222121020112020
4311323131000
512104342102
61223001440
7231110121
oct65733500
928536466
1014137152
117a864a7
124899280
132c0c9a3
141c40048
151393bbc
hexd7b740

14137152 has 56 divisors (see below), whose sum is σ = 38709600. Its totient is φ = 4548096.

The previous prime is 14137139. The next prime is 14137171. The reversal of 14137152 is 25173141.

It is a super-2 number, since 2×141371522 = 399718133342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4299 + ... + 6837.

Almost surely, 214137152 is an apocalyptic number.

14137152 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 14137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354800).

14137152 is an abundant number, since it is smaller than the sum of its proper divisors (24572448).

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

14137152 is a wasteful number, since it uses less digits than its factorization.

14137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2573 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 14137152 is about 3759.9404250600. The cubic root of 14137152 is about 241.7987079191.

The spelling of 14137152 in words is "fourteen million, one hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2539 2784 5078 5568 7617 10156 15234 20312 30468 40624 60936 73631 81248 121872 147262 162496 220893 243744 294524 441786 487488 589048 883572 1178096 1767144 2356192 3534288 4712384 7068576 14137152