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14251272 = 2337412069
BaseRepresentation
bin110110010111…
…010100001000
3222211001001220
4312113110020
512122020042
61225242040
7232063620
oct66272410
928731056
1014251272
118054212
124933320
132c4c909
141c6d880
1513b78ec
hexd97508

14251272 has 64 divisors (see below), whose sum is σ = 41731200. Its totient is φ = 3970560.

The previous prime is 14251249. The next prime is 14251277. The reversal of 14251272 is 27215241.

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

It is not an unprimeable number, because it can be changed into a prime (14251277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5854 + ... + 7922.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 214251272 is an apocalyptic number.

14251272 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 14251272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).

14251272 is an abundant number, since it is smaller than the sum of its proper divisors (27479928).

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

14251272 is a wasteful number, since it uses less digits than its factorization.

14251272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 14251272 is about 3775.0856943916. The cubic root of 14251272 is about 242.4475927420.

The spelling of 14251272 in words is "fourteen million, two hundred fifty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2069 2296 3444 4138 6207 6888 8276 12414 14483 16552 24828 28966 43449 49656 57932 84829 86898 115864 169658 173796 254487 339316 347592 508974 593803 678632 1017948 1187606 1781409 2035896 2375212 3562818 4750424 7125636 14251272