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142538760 = 2332571319229
BaseRepresentation
bin10000111111011…
…11100000001000
3100221012201102100
420133233200020
5242442220020
622051033400
73350362620
oct1037574010
9327181370
10142538760
1173506531
123b89b860
13236b8a80
1414d05880
15c7a8a90
hex87ef808

142538760 has 384 divisors, whose sum is σ = 602784000. Its totient is φ = 28366848.

The previous prime is 142538743. The next prime is 142538777. The reversal of 142538760 is 67835241.

It is an interprime number because it is at equal distance from previous prime (142538743) and next prime (142538777).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622326 + ... + 622554.

It is an arithmetic number, because the mean of its divisors is an integer number (1569750).

Almost surely, 2142538760 is an apocalyptic number.

142538760 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 142538760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301392000).

142538760 is an abundant number, since it is smaller than the sum of its proper divisors (460245240).

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

142538760 is a wasteful number, since it uses less digits than its factorization.

142538760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 142538760 is about 11938.9597536804. The cubic root of 142538760 is about 522.3693163094.

The spelling of 142538760 in words is "one hundred forty-two million, five hundred thirty-eight thousand, seven hundred sixty".