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68689440 = 2532547701
BaseRepresentation
bin1000001100000…
…01111000100000
311210020210012100
410012001320200
5120041030230
610452130400
71462564521
oct406017040
9153223170
1068689440
1135856436
121b006a00
1311300151
1491a0848
15606c660
hex4181e20

68689440 has 72 divisors (see below), whose sum is σ = 234407628. Its totient is φ = 18316800.

The previous prime is 68689421. The next prime is 68689441. The reversal of 68689440 is 4498686.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67963536 + 725904 = 8244^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68689441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22411 + ... + 25290.

Almost surely, 268689440 is an apocalyptic number.

68689440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68689440 is an abundant number, since it is smaller than the sum of its proper divisors (165718188).

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

68689440 is a wasteful number, since it uses less digits than its factorization.

68689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47722 (or 47711 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68689440 is about 8287.9092659126. The cubic root of 68689440 is about 409.5403136704.

The spelling of 68689440 in words is "sixty-eight million, six hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47701 95402 143103 190804 238505 286206 381608 429309 477010 572412 715515 763216 858618 954020 1144824 1431030 1526432 1717236 1908040 2146545 2289648 2862060 3434472 3816080 4293090 4579296 5724120 6868944 7632160 8586180 11448240 13737888 17172360 22896480 34344720 68689440