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68009136 = 24313731493
BaseRepresentation
bin1000000110110…
…11110010110000
311201222012222220
410003123302300
5114402243021
610425401040
71454032236
oct403336260
9151865886
1068009136
11354312a8
121a939180
13111225c0
149064956
155e85cc6
hex40dbcb0

68009136 has 80 divisors (see below), whose sum is σ = 191925216. Its totient is φ = 20625408.

The previous prime is 68009131. The next prime is 68009171. The reversal of 68009136 is 63190086.

It is a junction number, because it is equal to n+sod(n) for n = 68009097 and 68009106.

It is not an unprimeable number, because it can be changed into a prime (68009131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44806 + ... + 46298.

Almost surely, 268009136 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 68009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95962608).

68009136 is an abundant number, since it is smaller than the sum of its proper divisors (123916080).

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

68009136 is a wasteful number, since it uses less digits than its factorization.

68009136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 68009136 is about 8246.7651839979. The cubic root of 68009136 is about 408.1837887854.

The spelling of 68009136 in words is "sixty-eight million, nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1493 1752 1898 2847 2986 3504 3796 4479 5694 5972 7592 8958 11388 11944 15184 17916 19409 22776 23888 35832 38818 45552 58227 71664 77636 108989 116454 155272 217978 232908 310544 326967 435956 465816 653934 871912 931632 1307868 1416857 1743824 2615736 2833714 4250571 5231472 5667428 8501142 11334856 17002284 22669712 34004568 68009136