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468310120 = 23553220901
BaseRepresentation
bin11011111010011…
…101100001101000
31012122012121201021
4123322131201220
51424341410440
6114245302224
714414366425
oct3372354150
91178177637
10468310120
11220392363
12110a04974
137603aba5
14462a6d4c
152b1a884a
hex1be9d868

468310120 has 32 divisors (see below), whose sum is σ = 1073583720. Its totient is φ = 183788800.

The previous prime is 468310109. The next prime is 468310133. The reversal of 468310120 is 21013864.

It can be written as a sum of positive squares in 4 ways, for example, as 467510884 + 799236 = 21622^2 + 894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108331 + ... + 112570.

Almost surely, 2468310120 is an apocalyptic number.

468310120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468310120 is an abundant number, since it is smaller than the sum of its proper divisors (605273600).

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

468310120 is a wasteful number, since it uses less digits than its factorization.

468310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220965 (or 220961 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 468310120 is about 21640.4741168025. The cubic root of 468310120 is about 776.5650620972.

Adding to 468310120 its reverse (21013864), we get a palindrome (489323984).

The spelling of 468310120 in words is "four hundred sixty-eight million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 220901 441802 883604 1104505 1767208 2209010 4418020 8836040 11707753 23415506 46831012 58538765 93662024 117077530 234155060 468310120