Search a number
-
+
465045060 = 223576910079
BaseRepresentation
bin11011101110000…
…000011001000100
31012102001201220010
4123232000121010
51423022420220
6114051310220
714344550334
oct3356003104
91172051803
10465045060
11219562267
1210b8ab370
13754669bc
1445a970c4
152ac611e0
hex1bb80644

465045060 has 48 divisors (see below), whose sum is σ = 1303948800. Its totient is φ = 123838464.

The previous prime is 465045041. The next prime is 465045079. The reversal of 465045060 is 60540564.

It is an interprime number because it is at equal distance from previous prime (465045041) and next prime (465045079).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41101 + ... + 51179.

It is an arithmetic number, because the mean of its divisors is an integer number (27165600).

Almost surely, 2465045060 is an apocalyptic number.

It is an amenable number.

465045060 is an abundant number, since it is smaller than the sum of its proper divisors (838903740).

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

465045060 is a wasteful number, since it uses less digits than its factorization.

465045060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465045060 is about 21564.9034312700. The cubic root of 465045060 is about 774.7561133385.

The spelling of 465045060 in words is "four hundred sixty-five million, forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 769 1538 2307 3076 3845 4614 7690 9228 10079 11535 15380 20158 23070 30237 40316 46140 50395 60474 100790 120948 151185 201580 302370 604740 7750751 15501502 23252253 31003004 38753755 46504506 77507510 93009012 116261265 155015020 232522530 465045060