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142466304 = 2831031801
BaseRepresentation
bin10000111110111…
…01110100000000
3100221002001000210
420133131310000
5242432410204
622045314120
73346641441
oct1037356400
9327061023
10142466304
1173467052
123b865940
1323691ab6
1414cc72c8
15c792389
hex87ddd00

142466304 has 72 divisors (see below), whose sum is σ = 383061952. Its totient is φ = 47001600.

The previous prime is 142466251. The next prime is 142466323. The reversal of 142466304 is 403664241.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78204 + ... + 80004.

Almost surely, 2142466304 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 142466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191530976).

142466304 is an abundant number, since it is smaller than the sum of its proper divisors (240595648).

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

142466304 is a wasteful number, since it uses less digits than its factorization.

142466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 142466304 is about 11935.9249327398. The cubic root of 142466304 is about 522.2807901987.

The spelling of 142466304 in words is "one hundred forty-two million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 618 768 824 1236 1648 1801 2472 3296 3602 4944 5403 6592 7204 9888 10806 13184 14408 19776 21612 26368 28816 39552 43224 57632 79104 86448 115264 172896 185503 230528 345792 371006 461056 556509 691584 742012 1113018 1383168 1484024 2226036 2968048 4452072 5936096 8904144 11872192 17808288 23744384 35616576 47488768 71233152 142466304