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68831400 = 233521110429
BaseRepresentation
bin1000001101001…
…00100010101000
311210111222221010
410012210202220
5120110101100
610455143520
71464025431
oct406444250
9153458833
1068831400
1135943060
121b074ba0
131134c951
1491da488
156099750
hex41a48a8

68831400 has 96 divisors (see below), whose sum is σ = 232797600. Its totient is φ = 16684800.

The previous prime is 68831383. The next prime is 68831423. The reversal of 68831400 is 413886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386 + ... + 11814.

It is an arithmetic number, because the mean of its divisors is an integer number (2424975).

Almost surely, 268831400 is an apocalyptic number.

68831400 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 68831400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116398800).

68831400 is an abundant number, since it is smaller than the sum of its proper divisors (163966200).

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

68831400 is a wasteful number, since it uses less digits than its factorization.

68831400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68831400 is about 8296.4691284907. The cubic root of 68831400 is about 409.8222509302.

The spelling of 68831400 in words is "sixty-eight million, eight hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 10429 20858 31287 41716 52145 62574 83432 104290 114719 125148 156435 208580 229438 250296 260725 312870 344157 417160 458876 521450 573595 625740 688314 782175 917752 1042900 1147190 1251480 1376628 1564350 1720785 2085800 2294380 2753256 2867975 3128700 3441570 4588760 5735950 6257400 6883140 8603925 11471900 13766280 17207850 22943800 34415700 68831400