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142331800 = 23521324211
BaseRepresentation
bin10000111101111…
…00111110011000
3100220211012112011
420132330332120
5242414104200
622042355304
73345541342
oct1036747630
9326735464
10142331800
1173384a96
123b7bbb34
1323645800
1414c90292
15c7675ba
hex87bcf98

142331800 has 72 divisors (see below), whose sum is σ = 358420140. Its totient is φ = 52540800.

The previous prime is 142331789. The next prime is 142331807. The reversal of 142331800 is 8133241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142331807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31695 + ... + 35905.

Almost surely, 2142331800 is an apocalyptic number.

142331800 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 142331800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179210070).

142331800 is an abundant number, since it is smaller than the sum of its proper divisors (216088340).

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

142331800 is a wasteful number, since it uses less digits than its factorization.

142331800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 142331800 is about 11930.2891834188. The cubic root of 142331800 is about 522.1163747718.

The spelling of 142331800 in words is "one hundred forty-two million, three hundred thirty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4211 4225 6760 8422 8450 16844 16900 21055 33688 33800 42110 54743 84220 105275 109486 168440 210550 218972 273715 421100 437944 547430 711659 842200 1094860 1368575 1423318 2189720 2737150 2846636 3558295 5474300 5693272 7116590 10948600 14233180 17791475 28466360 35582950 71165900 142331800