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142804992 = 2113112113
BaseRepresentation
bin10001000001100…
…00100000000000
3100221201020121210
420200300200000
5243024224432
622100450120
73352552041
oct1040604000
9327636553
10142804992
1173678560
123b9a9940
132377ccc5
1414d748c8
15c80c8cc
hex8830800

142804992 has 96 divisors (see below), whose sum is σ = 415527840. Its totient is φ = 43253760.

The previous prime is 142804979. The next prime is 142805017. The reversal of 142804992 is 299408241.

142804992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 142804992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66528 + ... + 68640.

It is an arithmetic number, because the mean of its divisors is an integer number (4328415).

Almost surely, 2142804992 is an apocalyptic number.

142804992 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 142804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207763920).

142804992 is an abundant number, since it is smaller than the sum of its proper divisors (272722848).

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

142804992 is a wasteful number, since it uses less digits than its factorization.

142804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 142804992 is about 11950.1042673275. The cubic root of 142804992 is about 522.6943388561.

The spelling of 142804992 in words is "one hundred forty-two million, eight hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2113 2816 3072 4224 4226 5632 6144 6339 8448 8452 11264 12678 16896 16904 22528 23243 25356 33792 33808 46486 50712 67584 67616 69729 92972 101424 135232 139458 185944 202848 270464 278916 371888 405696 540928 557832 743776 811392 1081856 1115664 1487552 1622784 2163712 2231328 2975104 3245568 4327424 4462656 5950208 6491136 8925312 11900416 12982272 17850624 23800832 35701248 47601664 71402496 142804992