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68152320 = 2103351729
BaseRepresentation
bin1000000111111…
…10110000000000
311202020111102000
410003332300000
5114421333240
610432424000
71455166545
oct403766000
9152214360
1068152320
1135519935
121a9a8000
1311172822
1490a0bcc
155eb3430
hex40fec00

68152320 has 352 divisors, whose sum is σ = 265291200. Its totient is φ = 16515072.

The previous prime is 68152283. The next prime is 68152321. The reversal of 68152320 is 2325186.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68152321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350066 + ... + 2350094.

Almost surely, 268152320 is an apocalyptic number.

68152320 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 68152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132645600).

68152320 is an abundant number, since it is smaller than the sum of its proper divisors (197138880).

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

68152320 is a wasteful number, since it uses less digits than its factorization.

68152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68152320 is about 8255.4418415976. The cubic root of 68152320 is about 408.4700464986.

The spelling of 68152320 in words is "sixty-eight million, one hundred fifty-two thousand, three hundred twenty".