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142886268 = 223472512
BaseRepresentation
bin10001000010001…
…00010101111100
3100221212101010000
420201010111330
5243034330033
622102314300
73353341020
oct1041042574
9327771100
10142886268
1173723628
123ba28990
13237aacb5
1414d96380
15c826a13
hex884457c

142886268 has 90 divisors (see below), whose sum is σ = 428602328. Its totient is φ = 40662000.

The previous prime is 142886257. The next prime is 142886279. The reversal of 142886268 is 862688241.

142886268 is a `hidden beast` number, since 14 + 2 + 8 + 8 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (142886257) and next prime (142886279).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 569143 + ... + 569393.

Almost surely, 2142886268 is an apocalyptic number.

142886268 is a gapful number since it is divisible by the number (18) 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 142886268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214301164).

142886268 is an abundant number, since it is smaller than the sum of its proper divisors (285716060).

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

142886268 is an equidigital number, since it uses as much as digits as its factorization.

142886268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 263 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 142886268 is about 11953.5044233898. The cubic root of 142886268 is about 522.7934820945.

The spelling of 142886268 in words is "one hundred forty-two million, eight hundred eighty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 251 252 324 378 502 567 753 756 1004 1134 1506 1757 2259 2268 3012 3514 4518 5271 6777 7028 9036 10542 13554 15813 20331 21084 27108 31626 40662 47439 63001 63252 81324 94878 126002 142317 189003 189756 252004 284634 378006 441007 567009 569268 756012 882014 1134018 1323021 1701027 1764028 2268036 2646042 3402054 3969063 5103081 5292084 6804108 7938126 10206162 11907189 15876252 20412324 23814378 35721567 47628756 71443134 142886268