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68232000 = 263532843
BaseRepresentation
bin1000001000100…
…10001101000000
311202101112201010
410010102031000
5114431411000
610434240520
71455651054
oct404221500
9152345633
1068232000
1135573791
121aa26140
131119cb85
1490c1c64
155ecbd50
hex4112340

68232000 has 112 divisors (see below), whose sum is σ = 225381312. Its totient is φ = 18188800.

The previous prime is 68231987. The next prime is 68232001. The reversal of 68232000 is 23286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68232001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22579 + ... + 25421.

Almost surely, 268232000 is an apocalyptic number.

68232000 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 68232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112690656).

68232000 is an abundant number, since it is smaller than the sum of its proper divisors (157149312).

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

68232000 is a wasteful number, since it uses less digits than its factorization.

68232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 68232000 is about 8260.2663395317. The cubic root of 68232000 is about 408.6291715170.

Adding to 68232000 its reverse (23286), we get a palindrome (68255286).

The spelling of 68232000 in words is "sixty-eight million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 2843 3000 4000 4800 5686 6000 8000 8529 11372 12000 14215 17058 22744 24000 28430 34116 42645 45488 56860 68232 71075 85290 90976 113720 136464 142150 170580 181952 213225 227440 272928 284300 341160 355375 426450 454880 545856 568600 682320 710750 852900 909760 1066125 1137200 1364640 1421500 1705800 2132250 2274400 2729280 2843000 3411600 4264500 4548800 5686000 6823200 8529000 11372000 13646400 17058000 22744000 34116000 68232000