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68392240 = 2457273239
BaseRepresentation
bin1000001001110…
…01010100110000
311202200200111221
410010321110300
5120002022430
610441514424
71460216200
oct404712460
9152620457
1068392240
1135673114
121aaa2a14
1311227aa7
149124400
15600e57a
hex4139530

68392240 has 120 divisors (see below), whose sum is σ = 188291520. Its totient is φ = 23030784.

The previous prime is 68392217. The next prime is 68392301. The reversal of 68392240 is 4229386.

It is a junction number, because it is equal to n+sod(n) for n = 68392196 and 68392205.

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, 286041 + ... + 286279.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 268392240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68392240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94145760).

68392240 is an abundant number, since it is smaller than the sum of its proper divisors (119899280).

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

68392240 is a wasteful number, since it uses less digits than its factorization.

68392240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 68392240 is about 8269.9600966389. The cubic root of 68392240 is about 408.9488042758.

The spelling of 68392240 in words is "sixty-eight million, three hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 73 80 98 112 140 146 196 239 245 280 292 365 392 478 490 511 560 584 730 784 956 980 1022 1168 1195 1460 1673 1912 1960 2044 2390 2555 2920 3346 3577 3824 3920 4088 4780 5110 5840 6692 7154 8176 8365 9560 10220 11711 13384 14308 16730 17447 17885 19120 20440 23422 26768 28616 33460 34894 35770 40880 46844 57232 58555 66920 69788 71540 87235 93688 117110 122129 133840 139576 143080 174470 187376 234220 244258 279152 286160 348940 468440 488516 610645 697880 854903 936880 977032 1221290 1395760 1709806 1954064 2442580 3419612 4274515 4885160 6839224 8549030 9770320 13678448 17098060 34196120 68392240