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68112036 = 22331921747
BaseRepresentation
bin1000000111101…
…00111010100100
311202011110011000
410003310322210
5114414041121
610431513300
71454641236
oct403647244
9152143130
1068112036
11354a1643
121a988830
131115a3a5
149090256
155ea6526
hex40f4ea4

68112036 has 72 divisors (see below), whose sum is σ = 186476640. Its totient is φ = 21496752.

The previous prime is 68112007. The next prime is 68112061. The reversal of 68112036 is 63021186.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38115 + ... + 39861.

Almost surely, 268112036 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 68112036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93238320).

68112036 is an abundant number, since it is smaller than the sum of its proper divisors (118364604).

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

68112036 is a wasteful number, since it uses less digits than its factorization.

68112036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 68112036 is about 8253.0016357686. The cubic root of 68112036 is about 408.3895500925.

Subtracting from 68112036 its sum of digits (27), we obtain a square (68112009 = 82532).

The spelling of 68112036 in words is "sixty-eight million, one hundred twelve thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1083 1444 1747 2052 2166 3249 3494 4332 5241 6498 6988 9747 10482 12996 15723 19494 20964 31446 33193 38988 47169 62892 66386 94338 99579 132772 188676 199158 298737 398316 597474 630667 896211 1194948 1261334 1792422 1892001 2522668 3584844 3784002 5676003 7568004 11352006 17028009 22704012 34056018 68112036