Search a number
-
+
68250000 = 24356713
BaseRepresentation
bin1000001000101…
…10100110010000
311202102110101210
410010112212100
5114433000000
610434500120
71456054410
oct404264620
9152373353
1068250000
1135586265
121aa34640
13111a8120
1490c8640
155ed2350
hex4116990

68250000 has 280 divisors, whose sum is σ = 271246528. Its totient is φ = 14400000.

The previous prime is 68249999. The next prime is 68250001. The reversal of 68250000 is 5286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68249999) and next prime (68250001).

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (68250001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5249994 + ... + 5250006.

Almost surely, 268250000 is an apocalyptic number.

68250000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135623264).

68250000 is an abundant number, since it is smaller than the sum of its proper divisors (202996528).

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

68250000 is an equidigital number, since it uses as much as digits as its factorization.

68250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 68250000 is about 8261.3558209292. The cubic root of 68250000 is about 408.6651012782.

Adding to 68250000 its reverse (5286), we get a palindrome (68255286).

The spelling of 68250000 in words is "sixty-eight million, two hundred fifty thousand".