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465132060 = 223253183357
BaseRepresentation
bin11011101110010…
…101101000011100
31012102020011020100
4123232111220130
51423033211220
6114053221100
714345362101
oct3356255034
91172204210
10465132060
11219611668
1210b931790
1375497493
1445abaaa8
152ac7bd90
hex1bb95a1c

465132060 has 72 divisors (see below), whose sum is σ = 1456430976. Its totient is φ = 120032640.

The previous prime is 465132049. The next prime is 465132061. The reversal of 465132060 is 60231564.

465132060 is a `hidden beast` number, since 4 + 651 + 3 + 2 + 0 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465132061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36099 + ... + 47258.

It is an arithmetic number, because the mean of its divisors is an integer number (20228208).

Almost surely, 2465132060 is an apocalyptic number.

It is an amenable number.

465132060 is an abundant number, since it is smaller than the sum of its proper divisors (991298916).

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

465132060 is a wasteful number, since it uses less digits than its factorization.

465132060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83403 (or 83398 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 465132060 is about 21566.9205034006. The cubic root of 465132060 is about 774.8044237675.

The spelling of 465132060 in words is "four hundred sixty-five million, one hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 83357 166714 250071 333428 416785 500142 750213 833570 1000284 1250355 1500426 1667140 2500710 2584067 3000852 3751065 5001420 5168134 7502130 7752201 10336268 12920335 15004260 15504402 23256603 25840670 31008804 38761005 46513206 51681340 77522010 93026412 116283015 155044020 232566030 465132060