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142904320 = 21051319113
BaseRepresentation
bin10001000010010…
…00110000000000
3100221220021212121
420201020300000
5243040414240
622102534024
73353444446
oct1041106000
9327807777
10142904320
1173736149
123ba37314
13237b6290
1414d9cb96
15c82c04a
hex8848c00

142904320 has 176 divisors, whose sum is σ = 392041440. Its totient is φ = 49545216.

The previous prime is 142904317. The next prime is 142904347. The reversal of 142904320 is 23409241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264584 + ... + 1264696.

Almost surely, 2142904320 is an apocalyptic number.

142904320 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 142904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

142904320 is an abundant number, since it is smaller than the sum of its proper divisors (249137120).

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

142904320 is a wasteful number, since it uses less digits than its factorization.

142904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 142904320 is about 11954.2594919133. The cubic root of 142904320 is about 522.8154974374.

The spelling of 142904320 in words is "one hundred forty-two million, nine hundred four thousand, three hundred twenty".