Search a number
-
+
68301700 = 22526111197
BaseRepresentation
bin1000001001000…
…11001110000100
311202112002022121
410010203032010
5114441123300
610435535324
71456361215
oct404431604
9152462277
1068301700
1135611095
121aa5a544
13111c580c
1490dd40c
155ee281a
hex4123384

68301700 has 36 divisors (see below), whose sum is σ = 150657892. Its totient is φ = 26870400.

The previous prime is 68301643. The next prime is 68301707. The reversal of 68301700 is 710386.

It can be written as a sum of positive squares in 6 ways, for example, as 20939776 + 47361924 = 4576^2 + 6882^2 .

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

It is not an unprimeable number, because it can be changed into a prime (68301707) 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, 502 + ... + 11698.

Almost surely, 268301700 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 68301700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75328946).

68301700 is an abundant number, since it is smaller than the sum of its proper divisors (82356192).

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

68301700 is a wasteful number, since it uses less digits than its factorization.

68301700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 68301700 is about 8264.4842549309. The cubic root of 68301700 is about 408.7682644191.

The spelling of 68301700 in words is "sixty-eight million, three hundred one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 11197 22394 44788 55985 111970 223940 279925 559850 683017 1119700 1366034 2732068 3415085 6830170 13660340 17075425 34150850 68301700