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142867368 = 23337611549
BaseRepresentation
bin10001000001111…
…11101110101000
3100221211102012000
420200333232220
5243033223433
622102051000
73353231640
oct1040775650
9327742160
10142867368
1173710406
123ba19a60
13237a2507
1414d8d520
15c821113
hex883fba8

142867368 has 128 divisors (see below), whose sum is σ = 461280000. Its totient is φ = 40124160.

The previous prime is 142867367. The next prime is 142867391. The reversal of 142867368 is 863768241.

142867368 is a `hidden beast` number, since 1 + 4 + 286 + 7 + 368 = 666.

142867368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1428673682 = 40822169678494848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142867367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91458 + ... + 93006.

It is an arithmetic number, because the mean of its divisors is an integer number (3603750).

Almost surely, 2142867368 is an apocalyptic number.

142867368 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 142867368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230640000).

142867368 is an abundant number, since it is smaller than the sum of its proper divisors (318412632).

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

142867368 is a wasteful number, since it uses less digits than its factorization.

142867368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1622 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 142867368 is about 11952.7138341048. The cubic root of 142867368 is about 522.7704305850.

The spelling of 142867368 in words is "one hundred forty-two million, eight hundred sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1549 1647 1708 2196 2562 3098 3294 3416 3843 4392 4647 5124 6196 6588 7686 9294 10248 10843 11529 12392 13176 13941 15372 18588 21686 23058 27882 30744 32529 37176 41823 43372 46116 55764 65058 83646 86744 92232 94489 97587 111528 130116 167292 188978 195174 260232 283467 292761 334584 377956 390348 566934 585522 661423 755912 780696 850401 1133868 1171044 1322846 1700802 1984269 2267736 2342088 2551203 2645692 3401604 3968538 5102406 5291384 5952807 6803208 7937076 10204812 11905614 15874152 17858421 20409624 23811228 35716842 47622456 71433684 142867368