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142320420 = 223251171879
BaseRepresentation
bin10000111101110…
…10001100100100
3100220210121220200
420132322030210
5242413223140
622042230500
73345463224
oct1036721444
9326717820
10142320420
1173377490
123b7b5430
1323640588
1414c8a084
15c764030
hex87ba324

142320420 has 72 divisors (see below), whose sum is σ = 470957760. Its totient is φ = 34501440.

The previous prime is 142320407. The next prime is 142320421. The reversal of 142320420 is 24023241.

142320420 is a `hidden beast` number, since 14 + 232 + 0 + 420 = 666.

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 = 142320393 and 142320402.

It is not an unprimeable number, because it can be changed into a prime (142320421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33960 + ... + 37919.

It is an arithmetic number, because the mean of its divisors is an integer number (6541080).

Almost surely, 2142320420 is an apocalyptic number.

142320420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142320420 is an abundant number, since it is smaller than the sum of its proper divisors (328637340).

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

142320420 is a wasteful number, since it uses less digits than its factorization.

142320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71905 (or 71900 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 142320420 is about 11929.8122365777. The cubic root of 142320420 is about 522.1024592994.

Adding to 142320420 its reverse (24023241), we get a palindrome (166343661).

The spelling of 142320420 in words is "one hundred forty-two million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 71879 143758 215637 287516 359395 431274 646911 718790 790669 862548 1078185 1293822 1437580 1581338 2156370 2372007 2587644 3162676 3234555 3953345 4312740 4744014 6469110 7116021 7906690 9488028 11860035 12938220 14232042 15813380 23720070 28464084 35580105 47440140 71160210 142320420