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68322528 = 253443613
BaseRepresentation
bin1000001001010…
…00010011100000
311202120010220000
410010220103200
5114442310103
610440220000
71456506021
oct404502340
9152503800
1068322528
11356257aa
121aa6a600
1311202141
149106c48
155ee8aa3
hex41284e0

68322528 has 120 divisors (see below), whose sum is σ = 205942968. Its totient is φ = 22208256.

The previous prime is 68322511. The next prime is 68322547. The reversal of 68322528 is 82522386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68322492 and 68322501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111150 + ... + 111762.

Almost surely, 268322528 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 68322528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102971484).

68322528 is an abundant number, since it is smaller than the sum of its proper divisors (137620440).

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

68322528 is a wasteful number, since it uses less digits than its factorization.

68322528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 68322528 is about 8265.7442496124. The cubic root of 68322528 is about 408.8098102866.

The spelling of 68322528 in words is "sixty-eight million, three hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 258 288 324 344 387 432 516 613 648 688 774 864 1032 1161 1226 1296 1376 1548 1839 2064 2322 2452 2592 3096 3483 3678 4128 4644 4904 5517 6192 6966 7356 9288 9808 11034 12384 13932 14712 16551 18576 19616 22068 26359 27864 29424 33102 37152 44136 49653 52718 55728 58848 66204 79077 88272 99306 105436 111456 132408 158154 176544 198612 210872 237231 264816 316308 397224 421744 474462 529632 632616 711693 794448 843488 948924 1265232 1423386 1588896 1897848 2135079 2530464 2846772 3795696 4270158 5693544 7591392 8540316 11387088 17080632 22774176 34161264 68322528