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1372201376 = 257131753523
BaseRepresentation
bin101000111001010…
…0010000110100000
310112122001001102012
41101302202012200
510302240421001
6344055012052
746001343050
oct12162420640
93478031365
101372201376
11644632227
1232366a028
1318b3977a0
14d0357560
15807032bb
hex51ca21a0

1372201376 has 192 divisors, whose sum is σ = 3593818368. Its totient is φ = 500318208.

The previous prime is 1372201361. The next prime is 1372201433. The reversal of 1372201376 is 6731022731.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623451 + ... + 2623973.

It is an arithmetic number, because the mean of its divisors is an integer number (18717804).

Almost surely, 21372201376 is an apocalyptic number.

1372201376 is a gapful number since it is divisible by the number (16) 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 1372201376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796909184).

1372201376 is an abundant number, since it is smaller than the sum of its proper divisors (2221616992).

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

1372201376 is a wasteful number, since it uses less digits than its factorization.

1372201376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 1372201376 is about 37043.2365756558. The cubic root of 1372201376 is about 1111.2350984247.

The spelling of 1372201376 in words is "one billion, three hundred seventy-two million, two hundred one thousand, three hundred seventy-six".