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68513536 = 2871317173
BaseRepresentation
bin1000001010101…
…10111100000000
311202220211220101
410011112330000
5120014413121
610444252144
71461232630
oct405267400
9152824811
1068513536
1135746263
121ab41054
131126b070
1491566c0
156035491
hex4156f00

68513536 has 144 divisors (see below), whose sum is σ = 179250624. Its totient is φ = 25362432.

The previous prime is 68513507. The next prime is 68513551. The reversal of 68513536 is 63531586.

68513536 = 6992 + 7002 + ... + 8172.

It is a junction number, because it is equal to n+sod(n) for n = 68513495 and 68513504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395946 + ... + 396118.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796).

Almost surely, 268513536 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 68513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89625312).

68513536 is an abundant number, since it is smaller than the sum of its proper divisors (110737088).

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

68513536 is a wasteful number, since it uses less digits than its factorization.

68513536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 68513536 is about 8277.2903778954. The cubic root of 68513536 is about 409.1904231022.

The spelling of 68513536 in words is "sixty-eight million, five hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 173 182 208 221 224 238 256 272 346 364 416 442 448 476 544 692 728 832 884 896 952 1088 1211 1384 1456 1547 1664 1768 1792 1904 2176 2249 2422 2768 2912 2941 3094 3328 3536 3808 4352 4498 4844 5536 5824 5882 6188 7072 7616 8996 9688 11072 11648 11764 12376 14144 15232 15743 17992 19376 20587 22144 23296 23528 24752 28288 30464 31486 35984 38233 38752 41174 44288 47056 49504 56576 62972 71968 76466 77504 82348 94112 99008 125944 143936 152932 155008 164696 188224 198016 251888 267631 287872 305864 310016 329392 376448 396032 503776 535262 575744 611728 658784 752896 1007552 1070524 1223456 1317568 2015104 2141048 2446912 2635136 4030208 4282096 4893824 5270272 8564192 9787648 17128384 34256768 68513536