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142188120 = 23325394967
BaseRepresentation
bin10000111100110…
…01111001011000
3100220112220102200
420132121321120
5242400004440
622035330200
73344402424
oct1036317130
9326486380
10142188120
1173297048
123b750960
13235c52a9
1414c53b84
15c739c30
hex8799e58

142188120 has 48 divisors (see below), whose sum is σ = 462112560. Its totient is φ = 37916736.

The previous prime is 142188097. The next prime is 142188121. The reversal of 142188120 is 21881241.

142188120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1421881202 = 40434922938268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142188121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197124 + ... + 197843.

It is an arithmetic number, because the mean of its divisors is an integer number (9627345).

Almost surely, 2142188120 is an apocalyptic number.

142188120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142188120 is an abundant number, since it is smaller than the sum of its proper divisors (319924440).

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

142188120 is a wasteful number, since it uses less digits than its factorization.

142188120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394984 (or 394977 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 142188120 is about 11924.2660151474. The cubic root of 142188120 is about 521.9406282938.

The spelling of 142188120 in words is "one hundred forty-two million, one hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 394967 789934 1184901 1579868 1974835 2369802 3159736 3554703 3949670 4739604 5924505 7109406 7899340 9479208 11849010 14218812 15798680 17773515 23698020 28437624 35547030 47396040 71094060 142188120