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142024932 = 22327280513
BaseRepresentation
bin10000111011100…
…10000011100100
3100220020121120200
420131302003210
5242324244212
622032030500
73343122600
oct1035620344
9326217520
10142024932
1173195485
123b692430
1323568c2a
1414c10500
15c7066dc
hex87720e4

142024932 has 54 divisors (see below), whose sum is σ = 417626118. Its totient is φ = 40578048.

The previous prime is 142024903. The next prime is 142024951. The reversal of 142024932 is 239420241.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 65707236 = 8736^2 + 8106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142024896 and 142024905.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38493 + ... + 42020.

It is an arithmetic number, because the mean of its divisors is an integer number (7733817).

Almost surely, 2142024932 is an apocalyptic number.

142024932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142024932 is an abundant number, since it is smaller than the sum of its proper divisors (275601186).

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

142024932 is a wasteful number, since it uses less digits than its factorization.

142024932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80537 (or 80525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142024932 is about 11917.4213653793. The cubic root of 142024932 is about 521.7408763673.

The spelling of 142024932 in words is "one hundred forty-two million, twenty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 80513 161026 241539 322052 483078 563591 724617 966156 1127182 1449234 1690773 2254364 2898468 3381546 3945137 5072319 6763092 7890274 10144638 11835411 15780548 20289276 23670822 35506233 47341644 71012466 142024932