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142592320 = 26513151227
BaseRepresentation
bin10000111111111…
…00100101000000
3100221022102220001
420133330211000
5243000423240
622052125344
73351005023
oct1037744500
9327272801
10142592320
11735427a2
123b906854
1323707270
1414d1b1ba
15c7b989a
hex87fc940

142592320 has 112 divisors (see below), whose sum is σ = 369710208. Its totient is φ = 52070400.

The previous prime is 142592291. The next prime is 142592369. The reversal of 142592320 is 23295241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628047 + ... + 628273.

It is an arithmetic number, because the mean of its divisors is an integer number (3300984).

Almost surely, 2142592320 is an apocalyptic number.

142592320 is a gapful number since it is divisible by the number (10) 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 142592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184855104).

142592320 is an abundant number, since it is smaller than the sum of its proper divisors (227117888).

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

142592320 is a wasteful number, since it uses less digits than its factorization.

142592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 142592320 is about 11941.2026195019. The cubic root of 142592320 is about 522.4347361690.

The spelling of 142592320 in words is "one hundred forty-two million, five hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 151 160 208 227 260 302 320 416 454 520 604 755 832 908 1040 1135 1208 1510 1816 1963 2080 2270 2416 2951 3020 3632 3926 4160 4540 4832 5902 6040 7264 7852 9080 9664 9815 11804 12080 14528 14755 15704 18160 19630 23608 24160 29510 31408 34277 36320 39260 47216 48320 59020 62816 68554 72640 78520 94432 118040 125632 137108 157040 171385 188864 236080 274216 314080 342770 445601 472160 548432 628160 685540 891202 944320 1096864 1371080 1782404 2193728 2228005 2742160 3564808 4456010 5484320 7129616 8912020 10968640 14259232 17824040 28518464 35648080 71296160 142592320