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142475760 = 243657349
BaseRepresentation
bin10000111111000…
…00000111110000
3100221002112000000
420133200013300
5242433211020
622045430000
73350011140
oct1037400760
9327075000
10142475760
1173473169
123b86b300
13236961ab
1414cca920
15c795090
hex87e01f0

142475760 has 280 divisors, whose sum is σ = 569234400. Its totient is φ = 32472576.

The previous prime is 142475747. The next prime is 142475797. The reversal of 142475760 is 67574241.

142475760 is a `hidden beast` number, since 1 + 42 + 47 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408066 + ... + 408414.

It is an arithmetic number, because the mean of its divisors is an integer number (2032980).

Almost surely, 2142475760 is an apocalyptic number.

142475760 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 142475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284617200).

142475760 is an abundant number, since it is smaller than the sum of its proper divisors (426758640).

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

142475760 is an equidigital number, since it uses as much as digits as its factorization.

142475760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 142475760 is about 11936.3210412589. The cubic root of 142475760 is about 522.2923451600.

The spelling of 142475760 in words is "one hundred forty-two million, four hundred seventy-five thousand, seven hundred sixty".