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14972364 = 2234114201
BaseRepresentation
bin111001000111…
…010111001100
31001011200020000
4321013113030
512313103424
61252524300
7241156131
oct71072714
931150200
1014972364
1184a6a60
125020690
133142bb4
141dba588
1514ab3c9
hexe475cc

14972364 has 60 divisors (see below), whose sum is σ = 42709128. Its totient is φ = 4536000.

The previous prime is 14972357. The next prime is 14972369. The reversal of 14972364 is 46327941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14972369) 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 19 ways as a sum of consecutive naturals, for example, 1464 + ... + 5664.

Almost surely, 214972364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14972364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354564).

14972364 is an abundant number, since it is smaller than the sum of its proper divisors (27736764).

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

14972364 is a wasteful number, since it uses less digits than its factorization.

14972364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4217 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14972364 is about 3869.4139091082. The cubic root of 14972364 is about 246.4696560179.

The spelling of 14972364 in words is "fourteen million, nine hundred seventy-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 4201 8402 12603 16804 25206 37809 46211 50412 75618 92422 113427 138633 151236 184844 226854 277266 340281 415899 453708 554532 680562 831798 1247697 1361124 1663596 2495394 3743091 4990788 7486182 14972364