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142791840 = 253251719307
BaseRepresentation
bin10001000001011…
…01010010100000
3100221200120120200
420200231102200
5243023314330
622100305200
73352465512
oct1040552240
9327616520
10142791840
1173669694
123b9a2200
1323777019
1414d6dbb2
15c808a60
hex882d4a0

142791840 has 288 divisors, whose sum is σ = 544864320. Its totient is φ = 33841152.

The previous prime is 142791839. The next prime is 142791841. The reversal of 142791840 is 48197241.

It is an interprime number because it is at equal distance from previous prime (142791839) and next prime (142791841).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 142791795 and 142791804.

It is not an unprimeable number, because it can be changed into a prime (142791841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464967 + ... + 465273.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2142791840 is an apocalyptic number.

142791840 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 142791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

142791840 is an abundant number, since it is smaller than the sum of its proper divisors (402072480).

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

142791840 is a wasteful number, since it uses less digits than its factorization.

142791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 142791840 is about 11949.5539665713. The cubic root of 142791840 is about 522.6782920618.

The spelling of 142791840 in words is "one hundred forty-two million, seven hundred ninety-one thousand, eight hundred forty".