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142672320 = 2633572337
BaseRepresentation
bin10001000000100…
…00000111000000
3100221110111122000
420200100013000
5243011003240
622053544000
73351460200
oct1040200700
9327414560
10142672320
117359790a
123b945000
13237347bb
1414d3c400
15c7d3430
hex88101c0

142672320 has 336 divisors, whose sum is σ = 587227680. Its totient is φ = 32514048.

The previous prime is 142672303. The next prime is 142672357. The reversal of 142672320 is 23276241.

142672320 is a `hidden beast` number, since 1 + 426 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423192 + ... + 423528.

Almost surely, 2142672320 is an apocalyptic number.

142672320 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 142672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293613840).

142672320 is an abundant number, since it is smaller than the sum of its proper divisors (444555360).

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

142672320 is a wasteful number, since it uses less digits than its factorization.

142672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142672320 is about 11944.5518961575. The cubic root of 142672320 is about 522.5324201704.

The spelling of 142672320 in words is "one hundred forty-two million, six hundred seventy-two thousand, three hundred twenty".