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142328928 = 2537279383
BaseRepresentation
bin10000111101111…
…00010001100000
3100220211001120210
420132330101200
5242414011203
622042334120
73345530100
oct1036742140
9326731523
10142328928
1173382915
123b7ba340
1323644401
1414c8d200
15c766803
hex87bc460

142328928 has 144 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 40045824.

The previous prime is 142328909. The next prime is 142328933. The reversal of 142328928 is 829823241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371425 + ... + 371807.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2142328928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

142328928 is an abundant number, since it is smaller than the sum of its proper divisors (298933152).

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

142328928 is a wasteful number, since it uses less digits than its factorization.

142328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 142328928 is about 11930.1688169112. The cubic root of 142328928 is about 522.1128629580.

The spelling of 142328928 in words is "one hundred forty-two million, three hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 79 84 96 98 112 147 158 168 196 224 237 294 316 336 383 392 474 553 588 632 672 766 784 948 1106 1149 1176 1264 1532 1568 1659 1896 2212 2298 2352 2528 2681 3064 3318 3792 3871 4424 4596 4704 5362 6128 6636 7584 7742 8043 8848 9192 10724 11613 12256 13272 15484 16086 17696 18384 18767 21448 23226 26544 30257 30968 32172 36768 37534 42896 46452 53088 56301 60514 61936 64344 75068 85792 90771 92904 112602 121028 123872 128688 150136 181542 185808 211799 225204 242056 257376 300272 363084 371616 423598 450408 484112 600544 635397 726168 847196 900816 968224 1270794 1452336 1482593 1694392 1801632 2541588 2904672 2965186 3388784 4447779 5083176 5930372 6777568 8895558 10166352 11860744 17791116 20332704 23721488 35582232 47442976 71164464 142328928