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68659920 = 24335719239
BaseRepresentation
bin1000001011110…
…10101011010000
311210012021201000
410011322223100
5120034104140
610451342000
71462412460
oct405725320
9153167630
1068659920
113583623a
121abb1900
13112bc894
149193ba0
156063a30
hex417aad0

68659920 has 320 divisors, whose sum is σ = 285696000. Its totient is φ = 14805504.

The previous prime is 68659897. The next prime is 68659937. The reversal of 68659920 is 2995686.

It is a super-2 number, since 2×686599202 = 9428369228812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287161 + ... + 287399.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 268659920 is an apocalyptic number.

68659920 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 68659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

68659920 is an abundant number, since it is smaller than the sum of its proper divisors (217036080).

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

68659920 is a wasteful number, since it uses less digits than its factorization.

68659920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 68659920 is about 8286.1281670030. The cubic root of 68659920 is about 409.4816371967.

It can be divided in two parts, 686 and 59920, that added together give a palindrome (60606).

The spelling of 68659920 in words is "sixty-eight million, six hundred fifty-nine thousand, nine hundred twenty".