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460125136 = 24292813529
BaseRepresentation
bin11011011011001…
…111001111010000
31012001210210000201
4123123033033100
51420243001021
6113354024544
714254666462
oct3333171720
91161723021
10460125136
11216801909
1210a118154
13744334c3
1445176132
152a5dd591
hex1b6cf3d0

460125136 has 40 divisors (see below), whose sum is σ = 925777800. Its totient is φ = 221276160.

The previous prime is 460125131. The next prime is 460125137. The reversal of 460125136 is 631521064.

It can be written as a sum of positive squares in 4 ways, for example, as 29811600 + 430313536 = 5460^2 + 20744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460125131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128620 + ... + 132148.

It is an arithmetic number, because the mean of its divisors is an integer number (23144445).

Almost surely, 2460125136 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 460125136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462888900).

460125136 is an abundant number, since it is smaller than the sum of its proper divisors (465652664).

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

460125136 is a wasteful number, since it uses less digits than its factorization.

460125136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 460125136 is about 21450.5276391981. The cubic root of 460125136 is about 772.0142551530.

The spelling of 460125136 in words is "four hundred sixty million, one hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 281 464 562 1124 2248 3529 4496 7058 8149 14116 16298 28232 32596 56464 65192 102341 130384 204682 409364 818728 991649 1637456 1983298 3966596 7933192 15866384 28757821 57515642 115031284 230062568 460125136