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142140160 = 285293379
BaseRepresentation
bin10000111100011…
…10001100000000
3100220110110122101
420132032030000
5242341441120
622034320144
73344112541
oct1036161400
9326413571
10142140160
1173264008
123b729054
13235a9506
1414c404c8
15c72a90a
hex878e300

142140160 has 72 divisors (see below), whose sum is σ = 342533520. Its totient is φ = 56512512.

The previous prime is 142140151. The next prime is 142140169. The reversal of 142140160 is 61041241.

It is an interprime number because it is at equal distance from previous prime (142140151) and next prime (142140169).

It is not an unprimeable number, because it can be changed into a prime (142140169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374851 + ... + 375229.

It is an arithmetic number, because the mean of its divisors is an integer number (4757410).

Almost surely, 2142140160 is an apocalyptic number.

142140160 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 142140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171266760).

142140160 is an abundant number, since it is smaller than the sum of its proper divisors (200393360).

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

142140160 is an equidigital number, since it uses as much as digits as its factorization.

142140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 142140160 is about 11922.2548202930. The cubic root of 142140160 is about 521.8819382347.

The spelling of 142140160 in words is "one hundred forty-two million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 293 320 379 586 640 758 1172 1280 1465 1516 1895 2344 2930 3032 3790 4688 5860 6064 7580 9376 11720 12128 15160 18752 23440 24256 30320 37504 46880 48512 60640 75008 93760 97024 111047 121280 187520 222094 242560 375040 444188 485120 555235 888376 1110470 1776752 2220940 3553504 4441880 7107008 8883760 14214016 17767520 28428032 35535040 71070080 142140160