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460377138 = 23137198209
BaseRepresentation
bin11011011100001…
…100110000110010
31012002021120201010
4123130030300302
51420324032023
6113403251350
714260066254
oct3334146062
91162246633
10460377138
11216964181
1210a219b56
13744c1110
14451ddcd4
152a63d093
hex1b70cc32

460377138 has 32 divisors (see below), whose sum is σ = 993081600. Its totient is φ = 141440256.

The previous prime is 460377121. The next prime is 460377139. The reversal of 460377138 is 831773064.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 460377096 and 460377105.

It is not an unprimeable number, because it can be changed into a prime (460377139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51978 + ... + 60186.

It is an arithmetic number, because the mean of its divisors is an integer number (31033800).

Almost surely, 2460377138 is an apocalyptic number.

460377138 is an abundant number, since it is smaller than the sum of its proper divisors (532704462).

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

460377138 is a wasteful number, since it uses less digits than its factorization.

460377138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 460377138 is about 21456.4008631457. The cubic root of 460377138 is about 772.1551687255.

The spelling of 460377138 in words is "four hundred sixty million, three hundred seventy-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 719 1438 2157 4314 8209 9347 16418 18694 24627 28041 49254 56082 106717 213434 320151 640302 5902271 11804542 17706813 35413626 76729523 153459046 230188569 460377138