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14053872 = 2437151277
BaseRepresentation
bin110101100111…
…000111110000
3222110000021210
4311213013300
512044210442
61221120120
7230312250
oct65470760
928400253
1014053872
117a29978
124859040
132bb0b01
141c1b960
15137919c
hexd671f0

14053872 has 80 divisors (see below), whose sum is σ = 41917952. Its totient is φ = 3974400.

The previous prime is 14053867. The next prime is 14053877. The reversal of 14053872 is 27835041.

It is an interprime number because it is at equal distance from previous prime (14053867) and next prime (14053877).

It is a super-2 number, since 2×140538722 = 395022636384768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14053877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50598 + ... + 50874.

Almost surely, 214053872 is an apocalyptic number.

14053872 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 14053872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958976).

14053872 is an abundant number, since it is smaller than the sum of its proper divisors (27864080).

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

14053872 is a wasteful number, since it uses less digits than its factorization.

14053872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 14053872 is about 3748.8494234898. The cubic root of 14053872 is about 241.3229716527.

The spelling of 14053872 in words is "fourteen million, fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 151 168 277 302 336 453 554 604 831 906 1057 1108 1208 1662 1812 1939 2114 2216 2416 3171 3324 3624 3878 4228 4432 5817 6342 6648 7248 7756 8456 11634 12684 13296 15512 16912 23268 25368 31024 41827 46536 50736 83654 93072 125481 167308 250962 292789 334616 501924 585578 669232 878367 1003848 1171156 1756734 2007696 2342312 3513468 4684624 7026936 14053872