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142251304 = 23134173457
BaseRepresentation
bin10000111101010…
…01010100101000
3100220200010002211
420132221110220
5242404020204
622040534504
73345054556
oct1036512450
9326603084
10142251304
117332a568
123b781434
1323617c90
1414c6cbd6
15c74d804
hex87a9528

142251304 has 64 divisors (see below), whose sum is σ = 298927440. Its totient is φ = 63037440.

The previous prime is 142251283. The next prime is 142251323. The reversal of 142251304 is 403152241.

It can be written as a sum of positive squares in 8 ways, for example, as 38415204 + 103836100 = 6198^2 + 10190^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311044 + ... + 311500.

Almost surely, 2142251304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142251304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149463720).

142251304 is an abundant number, since it is smaller than the sum of its proper divisors (156676136).

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

142251304 is a wasteful number, since it uses less digits than its factorization.

142251304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142251304 is about 11926.9151082751. The cubic root of 142251304 is about 522.0179282657.

The spelling of 142251304 in words is "one hundred forty-two million, two hundred fifty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 292 328 457 533 584 914 949 1066 1828 1898 2132 2993 3656 3796 4264 5941 5986 7592 11882 11972 18737 23764 23944 33361 37474 38909 47528 66722 74948 77818 133444 149896 155636 243581 266888 311272 433693 487162 867386 974324 1367801 1734772 1948648 2735602 3469544 5471204 10942408 17781413 35562826 71125652 142251304