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142053160 = 235311091051
BaseRepresentation
bin10000111011110…
…00111100101000
3100220022001022011
420131320330220
5242331200120
622032405304
73343301104
oct1035707450
9326261264
10142053160
1173204707
123b6a6834
1323578a32
1414c1a904
15c70ec5a
hex8778f28

142053160 has 64 divisors (see below), whose sum is σ = 333273600. Its totient is φ = 54432000.

The previous prime is 142053157. The next prime is 142053161. The reversal of 142053160 is 61350241.

142053160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142053161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134635 + ... + 135685.

It is an arithmetic number, because the mean of its divisors is an integer number (5207400).

Almost surely, 2142053160 is an apocalyptic number.

142053160 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 142053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166636800).

142053160 is an abundant number, since it is smaller than the sum of its proper divisors (191220440).

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

142053160 is a wasteful number, since it uses less digits than its factorization.

142053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 142053160 is about 11918.6056231423. The cubic root of 142053160 is about 521.7754400777.

The spelling of 142053160 in words is "one hundred forty-two million, fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1051 1090 1240 2102 2180 3379 4204 4360 5255 6758 8408 10510 13516 16895 21020 27032 32581 33790 42040 65162 67580 114559 130324 135160 162905 229118 260648 325810 458236 572795 651620 916472 1145590 1303240 2291180 3551329 4582360 7102658 14205316 17756645 28410632 35513290 71026580 142053160