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142141320 = 23325394837
BaseRepresentation
bin10000111100011…
…10011110001000
3100220110112020100
420132032132020
5242342010240
622034325400
73344116116
oct1036163610
9326415210
10142141320
1173264972
123b729860
13235a9bb9
1414c40ab6
15c72ae30
hex878e788

142141320 has 48 divisors (see below), whose sum is σ = 461960460. Its totient is φ = 37904256.

The previous prime is 142141313. The next prime is 142141393. The reversal of 142141320 is 23141241.

It can be written as a sum of positive squares in 2 ways, for example, as 136749636 + 5391684 = 11694^2 + 2322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142141293 and 142141302.

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 11 ways as a sum of consecutive naturals, for example, 197059 + ... + 197778.

Almost surely, 2142141320 is an apocalyptic number.

142141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142141320 is an abundant number, since it is smaller than the sum of its proper divisors (319819140).

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

142141320 is a wasteful number, since it uses less digits than its factorization.

142141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394854 (or 394847 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142141320 is about 11922.3034687094. The cubic root of 142141320 is about 521.8833579165.

Adding to 142141320 its reverse (23141241), we get a palindrome (165282561).

The spelling of 142141320 in words is "one hundred forty-two million, one hundred forty-one thousand, three 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 394837 789674 1184511 1579348 1974185 2369022 3158696 3553533 3948370 4738044 5922555 7107066 7896740 9476088 11845110 14214132 15793480 17767665 23690220 28428264 35535330 47380440 71070660 142141320