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1372985960 = 2351714091433
BaseRepresentation
bin101000111010110…
…0001101001101000
310112200111220122212
41101311201221220
510302441022320
6344123504252
746011121343
oct12165415150
93480456585
101372985960
11645018745
12323988088
1318b5b0938
14d04bd45a
158080a9c5
hex51d61a68

1372985960 has 64 divisors (see below), whose sum is σ = 3275542800. Its totient is φ = 516161536.

The previous prime is 1372985941. The next prime is 1372985963. The reversal of 1372985960 is 695892731.

It can be written as a sum of positive squares in 8 ways, for example, as 577633156 + 795352804 = 24034^2 + 28202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1372985899 and 1372985908.

It is not an unprimeable number, because it can be changed into a prime (1372985963) 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, 957404 + ... + 958836.

Almost surely, 21372985960 is an apocalyptic number.

1372985960 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 1372985960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637771400).

1372985960 is an abundant number, since it is smaller than the sum of its proper divisors (1902556840).

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

1372985960 is a wasteful number, since it uses less digits than its factorization.

1372985960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 1372985960 is about 37053.8251736578. The cubic root of 1372985960 is about 1111.4468484829.

The spelling of 1372985960 in words is "one billion, three hundred seventy-two million, nine hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1409 1433 2818 2866 5636 5732 7045 7165 11272 11464 14090 14330 23953 24361 28180 28660 47906 48722 56360 57320 95812 97444 119765 121805 191624 194888 239530 243610 479060 487220 958120 974440 2019097 4038194 8076388 10095485 16152776 20190970 34324649 40381940 68649298 80763880 137298596 171623245 274597192 343246490 686492980 1372985960