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1372920900 = 22352132961199
BaseRepresentation
bin101000111010101…
…0001110001000100
310112200101121102020
41101311101301010
510302431432100
6344122243140
746010430561
oct12165216104
93480347366
101372920900
11644a8387a
123239564b0
1318b58a140
14d04a3868
15807e65a0
hex51d51c44

1372920900 has 288 divisors, whose sum is σ = 4520544000. Its totient is φ = 319334400.

The previous prime is 1372920889. The next prime is 1372920917. The reversal of 1372920900 is 90292731.

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 95 ways as a sum of consecutive naturals, for example, 6899001 + ... + 6899199.

Almost surely, 21372920900 is an apocalyptic number.

1372920900 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 1372920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260272000).

1372920900 is an abundant number, since it is smaller than the sum of its proper divisors (3147623100).

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

1372920900 is a wasteful number, since it uses less digits than its factorization.

1372920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1372920900 is about 37052.9472511972. The cubic root of 1372920900 is about 1111.4292926165.

The spelling of 1372920900 in words is "one billion, three hundred seventy-two million, nine hundred twenty thousand, nine hundred".