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142631280 = 24355112329
BaseRepresentation
bin10001000000001…
…10000101110000
3100221101102100000
420200012011300
5243003200110
622053030000
73351226431
oct1040060560
9327342300
10142631280
1173569aa0
123b925300
132371bc0c
1414d2b488
15c7c61c0
hex8806170

142631280 has 480 divisors, whose sum is σ = 584962560. Its totient is φ = 31933440.

The previous prime is 142631249. The next prime is 142631299. The reversal of 142631280 is 82136241.

142631280 is a `hidden beast` number, since 1 + 4 + 2 + 631 + 28 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 4918306 + ... + 4918334.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2142631280 is an apocalyptic number.

142631280 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 142631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

142631280 is an abundant number, since it is smaller than the sum of its proper divisors (442331280).

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

142631280 is a wasteful number, since it uses less digits than its factorization.

142631280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142631280 is about 11942.8338345637. The cubic root of 142631280 is about 522.4823128404.

The spelling of 142631280 in words is "one hundred forty-two million, six hundred thirty-one thousand, two hundred eighty".