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142016160 = 253511132069
BaseRepresentation
bin10000111011011…
…11111010100000
3100220020011112210
420131233322200
5242324004120
622031522120
73343055166
oct1035577240
9326204483
10142016160
1173189930
123b689340
1323564c40
1414c0b236
15c703ce0
hex876fea0

142016160 has 192 divisors, whose sum is σ = 525813120. Its totient is φ = 31764480.

The previous prime is 142016159. The next prime is 142016179. The reversal of 142016160 is 61610241.

It is a super-2 number, since 2×1420161602 = 40337179402291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67606 + ... + 69674.

It is an arithmetic number, because the mean of its divisors is an integer number (2738610).

Almost surely, 2142016160 is an apocalyptic number.

142016160 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 142016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262906560).

142016160 is an abundant number, since it is smaller than the sum of its proper divisors (383796960).

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

142016160 is a wasteful number, since it uses less digits than its factorization.

142016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 142016160 is about 11917.0533270603. The cubic root of 142016160 is about 521.7301345792.

The spelling of 142016160 in words is "one hundred forty-two million, sixteen thousand, one hundred sixty".