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1372801920 = 27357234441
BaseRepresentation
bin101000111010011…
…0100101110000000
310112200011120012120
41101310310232000
510302414130140
6344115524240
746006423650
oct12164645600
93480146176
101372801920
11644a02446
123238b9680
1318b547c39
14d0472360
15807c11d0
hex51d34b80

1372801920 has 256 divisors, whose sum is σ = 5219527680. Its totient is φ = 300072960.

The previous prime is 1372801907. The next prime is 1372801931. The reversal of 1372801920 is 291082731.

It is a super-2 number, since 2×13728019202 = 3769170223111372800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 306900 + ... + 311340.

It is an arithmetic number, because the mean of its divisors is an integer number (20388780).

Almost surely, 21372801920 is an apocalyptic number.

1372801920 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 1372801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609763840).

1372801920 is an abundant number, since it is smaller than the sum of its proper divisors (3846725760).

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

1372801920 is a wasteful number, since it uses less digits than its factorization.

1372801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1372801920 is about 37051.3416761121. The cubic root of 1372801920 is about 1111.3971854797.

The spelling of 1372801920 in words is "one billion, three hundred seventy-two million, eight hundred one thousand, nine hundred twenty".