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465665140 = 225157148301
BaseRepresentation
bin11011110000010…
…111110001110100
31012110020020111001
4123300113301310
51423202241030
6114112453044
714353042213
oct3360276164
91173206431
10465665140
11219946126
1210bb4a184
1375623005
1445bb907a
152ad34cca
hex1bc17c74

465665140 has 24 divisors (see below), whose sum is σ = 984132072. Its totient is φ = 185078400.

The previous prime is 465665131. The next prime is 465665141. The reversal of 465665140 is 41566564.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 464661136 = 1002^2 + 21556^2 .

It is a super-2 number, since 2×4656651402 = 433688045222439200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 465665140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465665141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71011 + ... + 77290.

It is an arithmetic number, because the mean of its divisors is an integer number (41005503).

Almost surely, 2465665140 is an apocalyptic number.

It is an amenable number.

465665140 is an abundant number, since it is smaller than the sum of its proper divisors (518466932).

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

465665140 is a wasteful number, since it uses less digits than its factorization.

465665140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148467 (or 148465 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 465665140 is about 21579.2757061028. The cubic root of 465665140 is about 775.1003075162.

It can be divided in two parts, 4656 and 65140, that added together give a palindrome (69796).

The spelling of 465665140 in words is "four hundred sixty-five million, six hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 148301 296602 593204 741505 1483010 2966020 23283257 46566514 93133028 116416285 232832570 465665140