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465570540 = 223252586503
BaseRepresentation
bin11011110000000…
…000101011101100
31012110001102201100
4123300000223230
51423141224130
6114110443100
714352166341
oct3360005354
91173042640
10465570540
11219891046
1210bb03490
13755bbc36
1445b927c8
152ad16c60
hex1bc00aec

465570540 has 36 divisors (see below), whose sum is σ = 1412231184. Its totient is φ = 124152096.

The previous prime is 465570533. The next prime is 465570569. The reversal of 465570540 is 45075564.

It is a happy number.

465570540 is a `hidden beast` number, since 4 + 65 + 57 + 0 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465570495 and 465570504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293072 + ... + 1293431.

It is an arithmetic number, because the mean of its divisors is an integer number (39228644).

Almost surely, 2465570540 is an apocalyptic number.

It is an amenable number.

465570540 is an abundant number, since it is smaller than the sum of its proper divisors (946660644).

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

465570540 is a wasteful number, since it uses less digits than its factorization.

465570540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586518 (or 2586513 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 465570540 is about 21577.0836769013. The cubic root of 465570540 is about 775.0478166820.

The spelling of 465570540 in words is "four hundred sixty-five million, five hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2586503 5173006 7759509 10346012 12932515 15519018 23278527 25865030 31038036 38797545 46557054 51730060 77595090 93114108 116392635 155190180 232785270 465570540