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68379930 = 23352511009
BaseRepresentation
bin1000001001101…
…10010100011010
311202200001122000
410010312110122
5120001124210
610441341430
71460135253
oct404662432
9152601560
1068379930
1135664943
121aa97876
13112222c8
14911db2a
15600aac0
hex413651a

68379930 has 64 divisors (see below), whose sum is σ = 183254400. Its totient is φ = 18144000.

The previous prime is 68379907. The next prime is 68379931. The reversal of 68379930 is 3997386.

It is a happy number.

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 (68379931) 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 31 ways as a sum of consecutive naturals, for example, 67266 + ... + 68274.

It is an arithmetic number, because the mean of its divisors is an integer number (2863350).

Almost surely, 268379930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68379930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91627200).

68379930 is an abundant number, since it is smaller than the sum of its proper divisors (114874470).

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

68379930 is a wasteful number, since it uses less digits than its factorization.

68379930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 68379930 is about 8269.2158032065. The cubic root of 68379930 is about 408.9242670776.

The spelling of 68379930 in words is "sixty-eight million, three hundred seventy-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 251 270 502 753 1009 1255 1506 2018 2259 2510 3027 3765 4518 5045 6054 6777 7530 9081 10090 11295 13554 15135 18162 22590 27243 30270 33885 45405 54486 67770 90810 136215 253259 272430 506518 759777 1266295 1519554 2279331 2532590 3798885 4558662 6837993 7597770 11396655 13675986 22793310 34189965 68379930