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142565120 = 285127877
BaseRepresentation
bin10000111111101…
…01111100000000
3100221021001120122
420133311330000
5242444040440
622051355412
73350532515
oct1037657400
9327231518
10142565120
1173524315
123b8b2b68
13236c7a79
1414d1130c
15c7b17b5
hex87f5f00

142565120 has 72 divisors (see below), whose sum is σ = 344569344. Its totient is φ = 56512512.

The previous prime is 142565119. The next prime is 142565149. The reversal of 142565120 is 21565241.

142565120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1425651202 = 40649626881228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142565120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162122 + ... + 162998.

Almost surely, 2142565120 is an apocalyptic number.

142565120 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 142565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172284672).

142565120 is an abundant number, since it is smaller than the sum of its proper divisors (202004224).

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

142565120 is an equidigital number, since it uses as much as digits as its factorization.

142565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 142565120 is about 11940.0636514216. The cubic root of 142565120 is about 522.4015152857.

The spelling of 142565120 in words is "one hundred forty-two million, five hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 635 640 877 1016 1270 1280 1754 2032 2540 3508 4064 4385 5080 7016 8128 8770 10160 14032 16256 17540 20320 28064 32512 35080 40640 56128 70160 81280 111379 112256 140320 162560 222758 224512 280640 445516 556895 561280 891032 1113790 1122560 1782064 2227580 3564128 4455160 7128256 8910320 14256512 17820640 28513024 35641280 71282560 142565120