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142642160 = 24531113509
BaseRepresentation
bin10001000000010…
…00101111110000
3100221101222020222
420200020233300
5243004022120
622053152212
73351303233
oct1040105760
9327358228
10142642160
1173577191
123b92b668
1323723b5b
1414d3141a
15c7c9525
hex8808bf0

142642160 has 80 divisors (see below), whose sum is σ = 346049280. Its totient is φ = 54620160.

The previous prime is 142642153. The next prime is 142642183. The reversal of 142642160 is 61246241.

It is a tau number, because it is divible by the number of its divisors (80).

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, 279986 + ... + 280494.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2142642160 is an apocalyptic number.

142642160 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 142642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173024640).

142642160 is an abundant number, since it is smaller than the sum of its proper divisors (203407120).

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

142642160 is a wasteful number, since it uses less digits than its factorization.

142642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 142642160 is about 11943.2893291589. The cubic root of 142642160 is about 522.4955975912.

The spelling of 142642160 in words is "one hundred forty-two million, six hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 113 124 155 226 248 310 452 496 509 565 620 904 1018 1130 1240 1808 2036 2260 2480 2545 3503 4072 4520 5090 7006 8144 9040 10180 14012 15779 17515 20360 28024 31558 35030 40720 56048 57517 63116 70060 78895 115034 126232 140120 157790 230068 252464 280240 287585 315580 460136 575170 631160 920272 1150340 1262320 1783027 2300680 3566054 4601360 7132108 8915135 14264216 17830270 28528432 35660540 71321080 142642160