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36068424 = 23371773173
BaseRepresentation
bin1000100110010…
…1110001001000
32111212110120120
42021211301020
533213142144
63325023240
7615401520
oct211456110
974773516
1036068424
11193a5817
12100b4b20
13761b182
144b0c680
153276e19
hex2265c48

36068424 has 128 divisors (see below), whose sum is σ = 111248640. Its totient is φ = 9510912.

The previous prime is 36068423. The next prime is 36068453. The reversal of 36068424 is 42486063.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36068423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208402 + ... + 208574.

It is an arithmetic number, because the mean of its divisors is an integer number (869130).

Almost surely, 236068424 is an apocalyptic number.

36068424 is a gapful number since it is divisible by the number (34) 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 36068424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55624320).

36068424 is an abundant number, since it is smaller than the sum of its proper divisors (75180216).

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

36068424 is a wasteful number, since it uses less digits than its factorization.

36068424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 36068424 is about 6005.6992931714. The cubic root of 36068424 is about 330.4017879276.

The spelling of 36068424 in words is "thirty-six million, sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 73 84 102 119 136 146 168 173 204 219 238 292 346 357 408 438 476 511 519 584 692 714 876 952 1022 1038 1211 1241 1384 1428 1533 1752 2044 2076 2422 2482 2856 2941 3066 3633 3723 4088 4152 4844 4964 5882 6132 7266 7446 8687 8823 9688 9928 11764 12264 12629 14532 14892 17374 17646 20587 23528 25258 26061 29064 29784 34748 35292 37887 41174 50516 52122 61761 69496 70584 75774 82348 88403 101032 104244 123522 151548 164696 176806 208488 214693 247044 265209 303096 353612 429386 494088 530418 644079 707224 858772 1060836 1288158 1502851 1717544 2121672 2576316 3005702 4508553 5152632 6011404 9017106 12022808 18034212 36068424