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142992960 = 26351121231
BaseRepresentation
bin10001000010111…
…10011001000000
3100222001210110120
420201132121000
5243101233320
622104500240
73354264045
oct1041363100
9328053416
10142992960
1173796800
123ba7a680
1323817726
1414dc31cc
15c848440
hex885e640

142992960 has 168 divisors, whose sum is σ = 499433088. Its totient is φ = 34636800.

The previous prime is 142992959. The next prime is 142992961. The reversal of 142992960 is 69299241.

It is an interprime number because it is at equal distance from previous prime (142992959) and next prime (142992961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142992961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115545 + ... + 116775.

It is an arithmetic number, because the mean of its divisors is an integer number (2972816).

Almost surely, 2142992960 is an apocalyptic number.

142992960 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 142992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249716544).

142992960 is an abundant number, since it is smaller than the sum of its proper divisors (356440128).

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

142992960 is a wasteful number, since it uses less digits than its factorization.

142992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 142992960 is about 11957.9663822909. The cubic root of 142992960 is about 522.9235715841.

The spelling of 142992960 in words is "one hundred forty-two million, nine hundred ninety-two thousand, nine hundred sixty".