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142096332 = 22378389229
BaseRepresentation
bin10000111100000…
…11011111001100
3100220101020112010
420132003133030
5242334040312
622033341220
73343541010
oct1036033714
9326336463
10142096332
1173234094
123b707810
1323592591
1414c2c540
15c71c93c
hex87837cc

142096332 has 96 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 39485952.

The previous prime is 142096309. The next prime is 142096337. The reversal of 142096332 is 233690241.

142096332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142096332.

It is not an unprimeable number, because it can be changed into a prime (142096337) 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, 620394 + ... + 620622.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2142096332 is an apocalyptic number.

142096332 is a gapful number since it is divisible by the number (12) 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 142096332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

142096332 is an abundant number, since it is smaller than the sum of its proper divisors (247394868).

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

142096332 is a wasteful number, since it uses less digits than its factorization.

142096332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 142096332 is about 11920.4166034581. The cubic root of 142096332 is about 521.8282930793.

The spelling of 142096332 in words is "one hundred forty-two million, ninety-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 89 166 178 229 249 267 332 356 458 498 534 581 623 687 916 996 1068 1162 1246 1374 1603 1743 1869 2324 2492 2748 3206 3486 3738 4809 6412 6972 7387 7476 9618 14774 19007 19236 20381 22161 29548 38014 40762 44322 51709 57021 61143 76028 81524 88644 103418 114042 122286 133049 142667 155127 206836 228084 244572 266098 285334 310254 399147 428001 532196 570668 620508 798294 856002 1596588 1691623 1712004 3383246 5074869 6766492 10149738 11841361 20299476 23682722 35524083 47365444 71048166 142096332