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68454360 = 233251314627
BaseRepresentation
bin1000001010010…
…00011111011000
311202210211201200
410011020133120
5120011014420
610443114200
71460565252
oct405103730
9152724650
1068454360
1135705857
121ab12960
131124a150
14913ccd2
156022b90
hex41487d8

68454360 has 96 divisors (see below), whose sum is σ = 239606640. Its totient is φ = 16849152.

The previous prime is 68454341. The next prime is 68454361. The reversal of 68454360 is 6345486.

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 (68454361) 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, 2634 + ... + 11993.

Almost surely, 268454360 is an apocalyptic number.

68454360 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 68454360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119803320).

68454360 is an abundant number, since it is smaller than the sum of its proper divisors (171152280).

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

68454360 is a wasteful number, since it uses less digits than its factorization.

68454360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14657 (or 14650 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 68454360 is about 8273.7150059692. The cubic root of 68454360 is about 409.0725815358.

The spelling of 68454360 in words is "sixty-eight million, four hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 14627 29254 43881 58508 73135 87762 117016 131643 146270 175524 190151 219405 263286 292540 351048 380302 438810 526572 570453 585080 658215 760604 877620 950755 1053144 1140906 1316430 1521208 1711359 1755240 1901510 2281812 2632860 2852265 3422718 3803020 4563624 5265720 5704530 6845436 7606040 8556795 11409060 13690872 17113590 22818120 34227180 68454360