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465146540 = 22570932803
BaseRepresentation
bin11011101110011…
…001001010101100
31012102020220002122
4123232121022230
51423034142130
6114053412112
714345452235
oct3356311254
91172226078
10465146540
11219621531
1210b93a038
13754a0c51
1445ac208c
152ac812e5
hex1bb992ac

465146540 has 24 divisors (see below), whose sum is σ = 978215280. Its totient is φ = 185790528.

The previous prime is 465146527. The next prime is 465146551. The reversal of 465146540 is 45641564.

It is a super-3 number, since 3×4651465403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 465146540.

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, 2222 + ... + 30581.

It is an arithmetic number, because the mean of its divisors is an integer number (40758970).

Almost surely, 2465146540 is an apocalyptic number.

It is an amenable number.

465146540 is an abundant number, since it is smaller than the sum of its proper divisors (513068740).

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

465146540 is a wasteful number, since it uses less digits than its factorization.

465146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33521 (or 33519 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 465146540 is about 21567.2562000826. The cubic root of 465146540 is about 774.8124638151.

The spelling of 465146540 in words is "four hundred sixty-five million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7090 14180 32803 65606 131212 164015 328030 656060 23257327 46514654 93029308 116286635 232573270 465146540