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142629960 = 23351131947
BaseRepresentation
bin10001000000001…
…01110001001000
3100221101100112010
420200011301020
5243003124320
622053015520
73351222534
oct1040056110
9327340463
10142629960
1173569000
123b9245a0
132371b435
1414d2abc4
15c7c5ae0
hex8805c48

142629960 has 256 divisors, whose sum is σ = 505958400. Its totient is φ = 32060160.

The previous prime is 142629959. The next prime is 142629967. The reversal of 142629960 is 69926241.

It is not an unprimeable number, because it can be changed into a prime (142629967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3034657 + ... + 3034703.

It is an arithmetic number, because the mean of its divisors is an integer number (1976400).

Almost surely, 2142629960 is an apocalyptic number.

142629960 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 142629960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).

142629960 is an abundant number, since it is smaller than the sum of its proper divisors (363328440).

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

142629960 is a wasteful number, since it uses less digits than its factorization.

142629960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 142629960 is about 11942.7785711701. The cubic root of 142629960 is about 522.4807010416.

The spelling of 142629960 in words is "one hundred forty-two million, six hundred twenty-nine thousand, nine hundred sixty".