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142452800 = 2652722379
BaseRepresentation
bin10000111110110…
…10100001000000
3100221001100111122
420133122201000
5242431442200
622045131412
73346554200
oct1037324100
9327040448
10142452800
1173457996
123b859b68
13236888c9
1414cc2400
15c78d385
hex87da840

142452800 has 252 divisors, whose sum is σ = 430865280. Its totient is φ = 46126080.

The previous prime is 142452799. The next prime is 142452839. The reversal of 142452800 is 8254241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142452800.

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 35 ways as a sum of consecutive naturals, for example, 1803161 + ... + 1803239.

Almost surely, 2142452800 is an apocalyptic number.

142452800 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 142452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432640).

142452800 is an abundant number, since it is smaller than the sum of its proper divisors (288412480).

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

142452800 is a wasteful number, since it uses less digits than its factorization.

142452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 142452800 is about 11935.3592321304. The cubic root of 142452800 is about 522.2642878108.

The spelling of 142452800 in words is "one hundred forty-two million, four hundred fifty-two thousand, eight hundred".