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68458590 = 23256711353
BaseRepresentation
bin1000001010010…
…01100001011110
311202211001112100
410011021201132
5120011133330
610443145530
71460613504
oct405114136
9152731470
1068458590
1135708a52
121ab152a6
131124c055
149140674
156024060
hex414985e

68458590 has 48 divisors (see below), whose sum is σ = 180664848. Its totient is φ = 17981568.

The previous prime is 68458573. The next prime is 68458591. The reversal of 68458590 is 9585486.

68458590 is a `hidden beast` number, since 6 + 8 + 4 + 58 + 590 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68458591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354 + ... + 11706.

It is an arithmetic number, because the mean of its divisors is an integer number (3763851).

Almost surely, 268458590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68458590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90332424).

68458590 is an abundant number, since it is smaller than the sum of its proper divisors (112206258).

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

68458590 is a wasteful number, since it uses less digits than its factorization.

68458590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 68458590 is about 8273.9706308398. The cubic root of 68458590 is about 409.0810073024.

The spelling of 68458590 in words is "sixty-eight million, four hundred fifty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 11353 22706 34059 56765 68118 102177 113530 170295 204354 340590 510885 760651 1021770 1521302 2281953 3803255 4563906 6845859 7606510 11409765 13691718 22819530 34229295 68458590