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142107840 = 26325721953
BaseRepresentation
bin10000111100001…
…10010011000000
3100220101211022100
420132012103000
5242334422330
622033510400
73343616400
oct1036062300
9326354270
10142107840
11732417a6
123b712400
13235978a4
1414c32800
15c721060
hex87864c0

142107840 has 504 divisors, whose sum is σ = 609813360. Its totient is φ = 30191616.

The previous prime is 142107839. The next prime is 142107841. The reversal of 142107840 is 48701241.

It is an interprime number because it is at equal distance from previous prime (142107839) and next prime (142107841).

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (142107841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2681254 + ... + 2681306.

Almost surely, 2142107840 is an apocalyptic number.

142107840 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 142107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304906680).

142107840 is an abundant number, since it is smaller than the sum of its proper divisors (467705520).

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

142107840 is a wasteful number, since it uses less digits than its factorization.

142107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 142107840 is about 11920.8992949358. The cubic root of 142107840 is about 521.8423798560.

The spelling of 142107840 in words is "one hundred forty-two million, one hundred seven thousand, eight hundred forty".