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14914152 = 2333116277
BaseRepresentation
bin111000111001…
…001001101000
31001001201101000
4320321021220
512304223102
61251355000
7240524331
oct70711150
931051330
1014914152
118467250
124bb2a60
133122556
141da3288
15149901c
hexe39268

14914152 has 64 divisors (see below), whose sum is σ = 45201600. Its totient is φ = 4518720.

The previous prime is 14914129. The next prime is 14914171. The reversal of 14914152 is 25141941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 763 + ... + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (706275).

Almost surely, 214914152 is an apocalyptic number.

14914152 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 14914152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600800).

14914152 is an abundant number, since it is smaller than the sum of its proper divisors (30287448).

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

14914152 is a wasteful number, since it uses less digits than its factorization.

14914152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6293 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 14914152 is about 3861.8845140682. The cubic root of 14914152 is about 246.1498195054.

The spelling of 14914152 in words is "fourteen million, nine hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6277 12554 18831 25108 37662 50216 56493 69047 75324 112986 138094 150648 169479 207141 225972 276188 338958 414282 451944 552376 621423 677916 828564 1242846 1355832 1657128 1864269 2485692 3728538 4971384 7457076 14914152