Search a number
-
+
14661972 = 223413592
BaseRepresentation
bin110111111011…
…100101010100
31000120220110000
4313323211110
512223140342
61242131300
7235424163
oct67734524
930526400
1014661972
118304836
124ab0b30
133064830
141d393da
15144944c
hexdfb954

14661972 has 90 divisors (see below), whose sum is σ = 41989178. Its totient is φ = 4434912.

The previous prime is 14661967. The next prime is 14661989. The reversal of 14661972 is 27916641.

14661972 is a `hidden beast` number, since 1 + 466 + 197 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 4511376 = 3186^2 + 2124^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 248479 + ... + 248537.

Almost surely, 214661972 is an apocalyptic number.

14661972 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 14661972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994589).

14661972 is an abundant number, since it is smaller than the sum of its proper divisors (27327206).

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

14661972 is a wasteful number, since it uses less digits than its factorization.

14661972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 77 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 14661972 is about 3829.0954545428. The cubic root of 14661972 is about 244.7545619242.

The spelling of 14661972 in words is "fourteen million, six hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 177 234 236 324 351 354 468 531 702 708 767 1053 1062 1404 1534 1593 2106 2124 2301 3068 3186 3481 4212 4602 4779 6372 6903 6962 9204 9558 10443 13806 13924 19116 20709 20886 27612 31329 41418 41772 45253 62127 62658 82836 90506 93987 124254 125316 135759 181012 187974 248508 271518 281961 375948 407277 543036 563922 814554 1127844 1221831 1629108 2443662 3665493 4887324 7330986 14661972