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465568680 = 23353879739
BaseRepresentation
bin11011110000000…
…000001110101000
31012110001100011110
4123300000032220
51423141144210
6114110430320
714352161043
oct3360001650
91173040143
10465568680
1121988a705
1210bb023a0
13755bb135
1445b91c5a
152ad16420
hex1bc003a8

465568680 has 32 divisors (see below), whose sum is σ = 1396706400. Its totient is φ = 124151616.

The previous prime is 465568673. The next prime is 465568687. The reversal of 465568680 is 86865564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465568673) and next prime (465568687).

It is not an unprimeable number, because it can be changed into a prime (465568687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939750 + ... + 1939989.

It is an arithmetic number, because the mean of its divisors is an integer number (43647075).

Almost surely, 2465568680 is an apocalyptic number.

465568680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465568680 is an abundant number, since it is smaller than the sum of its proper divisors (931137720).

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

465568680 is a wasteful number, since it uses less digits than its factorization.

465568680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879753 (or 3879749 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 465568680 is about 21577.0405755748. The cubic root of 465568680 is about 775.0467845500.

The spelling of 465568680 in words is "four hundred sixty-five million, five hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3879739 7759478 11639217 15518956 19398695 23278434 31037912 38797390 46556868 58196085 77594780 93113736 116392170 155189560 232784340 465568680