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142023672 = 23337294179
BaseRepresentation
bin10000111011100…
…01101111111000
3100220020112212000
420131301233320
5242324224142
622032021000
73343116120
oct1035615770
9326215760
10142023672
117319453a
123b691760
132356849b
1414c0dc80
15c70614c
hex8771bf8

142023672 has 256 divisors, whose sum is σ = 483840000. Its totient is φ = 37739520.

The previous prime is 142023659. The next prime is 142023683. The reversal of 142023672 is 276320241.

142023672 is a `hidden beast` number, since 1 + 420 + 236 + 7 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1797729 + ... + 1797807.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2142023672 is an apocalyptic number.

142023672 is a gapful number since it is divisible by the number (12) 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 142023672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920000).

142023672 is an abundant number, since it is smaller than the sum of its proper divisors (341816328).

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

142023672 is a wasteful number, since it uses less digits than its factorization.

142023672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

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

The square root of 142023672 is about 11917.3685014772. The cubic root of 142023672 is about 521.7393334564.

The spelling of 142023672 in words is "one hundred forty-two million, twenty-three thousand, six hundred seventy-two".