Search a number
-
+
60456972 = 22323317691
BaseRepresentation
bin1110011010100…
…0000000001100
311012202112101010
43212220000030
5110434110342
65555445220
71332606252
oct346500014
9135675333
1060456972
1131143244
12182b6810
13c6a9c74
14805a5d2
15549329c
hex39a800c

60456972 has 48 divisors (see below), whose sum is σ = 147877632. Its totient is φ = 19187520.

The previous prime is 60456961. The next prime is 60456973. The reversal of 60456972 is 27965406.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 60456972.

It is not an unprimeable number, because it can be changed into a prime (60456973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87147 + ... + 87837.

It is an arithmetic number, because the mean of its divisors is an integer number (3080784).

Almost surely, 260456972 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 60456972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73938816).

60456972 is an abundant number, since it is smaller than the sum of its proper divisors (87420660).

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

60456972 is a wasteful number, since it uses less digits than its factorization.

60456972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 60456972 is about 7775.4081564893. The cubic root of 60456972 is about 392.4781320393.

The spelling of 60456972 in words is "sixty million, four hundred fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 317 634 691 951 1268 1382 1902 2073 2764 3804 4146 7291 8292 14582 15893 21873 29164 31786 43746 47679 63572 87492 95358 190716 219047 438094 657141 876188 1314282 2628564 5038081 10076162 15114243 20152324 30228486 60456972