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1372425600 = 273527131571
BaseRepresentation
bin101000111001101…
…1000110110000000
310112122110102222210
41101303120312000
510302320104400
6344103502120
746003265550
oct12163306600
93478412883
101372425600
11644775737
12323757940
1318b445870
14d03b5160
1580749950
hex51cd8d80

1372425600 has 384 divisors, whose sum is σ = 5567143680. Its totient is φ = 289382400.

The previous prime is 1372425563. The next prime is 1372425601. The reversal of 1372425600 is 65242731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372425601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 872815 + ... + 874385.

It is an arithmetic number, because the mean of its divisors is an integer number (14497770).

Almost surely, 21372425600 is an apocalyptic number.

1372425600 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 1372425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783571840).

1372425600 is an abundant number, since it is smaller than the sum of its proper divisors (4194718080).

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

1372425600 is a wasteful number, since it uses less digits than its factorization.

1372425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1372425600 is about 37046.2629694278. The cubic root of 1372425600 is about 1111.2956220992.

The spelling of 1372425600 in words is "one billion, three hundred seventy-two million, four hundred twenty-five thousand, six hundred".