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68290000 = 24546829
BaseRepresentation
bin1000001001000…
…00010111010000
311202111111021021
410010200113100
5114440240000
610435405224
71456312132
oct404402720
9152444237
1068290000
1135603319
121aa53814
13111c03ac
1490d9052
155ede11a
hex41205d0

68290000 has 50 divisors (see below), whose sum is σ = 165361130. Its totient is φ = 27312000.

The previous prime is 68289997. The next prime is 68290031. The reversal of 68290000 is 9286.

It can be written as a sum of positive squares in 5 ways, for example, as 25361296 + 42928704 = 5036^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6586 + ... + 13414.

Almost surely, 268290000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82680565).

68290000 is an abundant number, since it is smaller than the sum of its proper divisors (97071130).

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

68290000 is an equidigital number, since it uses as much as digits as its factorization.

68290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 68290000 is about 8263.7763764516. The cubic root of 68290000 is about 408.7449225803.

Adding to 68290000 its reverse (9286), we get a palindrome (68299286).

The spelling of 68290000 in words is "sixty-eight million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6829 10000 13658 27316 34145 54632 68290 109264 136580 170725 273160 341450 546320 682900 853625 1365800 1707250 2731600 3414500 4268125 6829000 8536250 13658000 17072500 34145000 68290000