Search a number
-
+
1372005960 = 23351319411129
BaseRepresentation
bin101000111000111…
…0010011001001000
310112121200010100120
41101301302121020
510302213142320
6344050503240
745666600243
oct12161623110
93477603316
101372005960
11644509426
12323594b20
1318b329860
14d030625a
15806b5440
hex51c72648

1372005960 has 256 divisors, whose sum is σ = 4783968000. Its totient is φ = 311869440.

The previous prime is 1372005949. The next prime is 1372006021. The reversal of 1372005960 is 695002731.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1214676 + ... + 1215804.

It is an arithmetic number, because the mean of its divisors is an integer number (18687375).

Almost surely, 21372005960 is an apocalyptic number.

1372005960 is a gapful number since it is divisible by the number (10) 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 1372005960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391984000).

1372005960 is an abundant number, since it is smaller than the sum of its proper divisors (3411962040).

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

1372005960 is a wasteful number, since it uses less digits than its factorization.

1372005960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1372005960 is about 37040.5988072547. The cubic root of 1372005960 is about 1111.1823453738.

The spelling of 1372005960 in words is "one billion, three hundred seventy-two million, five thousand, nine hundred sixty".