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68585400 = 23335213977
BaseRepresentation
bin1000001011010…
…00011110111000
311210001111111000
410011220132320
5120024213100
610450005000
71461652302
oct405503670
9153044430
1068585400
1135795254
121ab76760
13112949a0
149174972
15604b900
hex41687b8

68585400 has 192 divisors, whose sum is σ = 254671200. Its totient is φ = 16865280.

The previous prime is 68585393. The next prime is 68585401. The reversal of 68585400 is 458586.

It is a happy number.

68585400 is a `hidden beast` number, since 68 + 58 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68585401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69712 + ... + 70688.

Almost surely, 268585400 is an apocalyptic number.

68585400 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 68585400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127335600).

68585400 is an abundant number, since it is smaller than the sum of its proper divisors (186085800).

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

68585400 is a wasteful number, since it uses less digits than its factorization.

68585400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 68585400 is about 8281.6302742878. The cubic root of 68585400 is about 409.3334400247. Note that the first 3 decimals are identical.

The spelling of 68585400 in words is "sixty-eight million, five hundred eighty-five thousand, four hundred".