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142112928 = 2531731532
BaseRepresentation
bin10000111100001…
…11100010100000
3100220102002021210
420132013202200
5242340103203
622033550120
73343640256
oct1036074240
9326362253
10142112928
1173245601
123b715340
1323599cb9
1414c345d6
15c722803
hex87878a0

142112928 has 144 divisors (see below), whose sum is σ = 415570176. Its totient is φ = 42332160.

The previous prime is 142112917. The next prime is 142112939. The reversal of 142112928 is 829211241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (142112917) and next prime (142112939).

It is a junction number, because it is equal to n+sod(n) for n = 142112895 and 142112904.

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 23 ways as a sum of consecutive naturals, for example, 2681350 + ... + 2681402.

It is an arithmetic number, because the mean of its divisors is an integer number (2885904).

Almost surely, 2142112928 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 142112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207785088).

142112928 is an abundant number, since it is smaller than the sum of its proper divisors (273457248).

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

142112928 is a wasteful number, since it uses less digits than its factorization.

142112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 106 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 142112928 is about 11921.1126997441. The cubic root of 142112928 is about 521.8486077609.

The spelling of 142112928 in words is "one hundred forty-two million, one hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 53 62 68 93 96 102 106 124 136 159 186 204 212 248 272 318 372 408 424 496 527 544 636 744 816 848 901 992 1054 1272 1488 1581 1632 1643 1696 1802 2108 2544 2703 2809 2976 3162 3286 3604 4216 4929 5088 5406 5618 6324 6572 7208 8427 8432 9858 10812 11236 12648 13144 14416 16854 16864 19716 21624 22472 25296 26288 27931 28832 33708 39432 43248 44944 47753 50592 52576 55862 67416 78864 83793 86496 87079 89888 95506 111724 134832 143259 157728 167586 174158 191012 223448 261237 269664 286518 335172 348316 382024 446896 522474 573036 670344 696632 764048 893792 1044948 1146072 1340688 1393264 1480343 1528096 2089896 2292144 2681376 2786528 2960686 4179792 4441029 4584288 5921372 8359584 8882058 11842744 17764116 23685488 35528232 47370976 71056464 142112928