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68152500 = 22325413233
BaseRepresentation
bin1000000111111…
…10110010110100
311202020111122200
410003332302310
5114421340000
610432424500
71455200223
oct403766264
9152214580
1068152500
1135519a89
121a9a8130
1311172930
1490a0cba
155eb3500
hex40fecb4

68152500 has 180 divisors, whose sum is σ = 232828596. Its totient is φ = 16704000.

The previous prime is 68152459. The next prime is 68152501. The reversal of 68152500 is 525186.

68152500 is a `hidden beast` number, since 6 + 8 + 152 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 66683556 + 1468944 = 8166^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68152501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 292384 + ... + 292616.

Almost surely, 268152500 is an apocalyptic number.

68152500 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 68152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116414298).

68152500 is an abundant number, since it is smaller than the sum of its proper divisors (164676096).

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

68152500 is a wasteful number, since it uses less digits than its factorization.

68152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 68152500 is about 8255.4527434902. The cubic root of 68152500 is about 408.4704061075.

Adding to 68152500 its reverse (525186), we get a palindrome (68677686).

The spelling of 68152500 in words is "sixty-eight million, one hundred fifty-two thousand, five hundred".