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36028668 = 223134143131
BaseRepresentation
bin1000100101110…
…0000011111100
32111210110001010
42021130003330
533210404133
63324115220
7615144564
oct211340374
974713033
1036028668
1119378965
1210095b10
137606050
144adbda4
15326a263
hex225c0fc

36028668 has 96 divisors (see below), whose sum is σ = 95622912. Its totient is φ = 10483200.

The previous prime is 36028667. The next prime is 36028669. The reversal of 36028668 is 86682063.

36028668 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (36028667) and next prime (36028669).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36028667) 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, 274963 + ... + 275093.

It is an arithmetic number, because the mean of its divisors is an integer number (996072).

Almost surely, 236028668 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 36028668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47811456).

36028668 is an abundant number, since it is smaller than the sum of its proper divisors (59594244).

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

36028668 is a wasteful number, since it uses less digits than its factorization.

36028668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 36028668 is about 6002.3885245792. The cubic root of 36028668 is about 330.2803494585.

The spelling of 36028668 in words is "thirty-six million, twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 41 43 52 78 82 86 123 129 131 156 164 172 246 258 262 393 492 516 524 533 559 786 1066 1118 1572 1599 1677 1703 1763 2132 2236 3198 3354 3406 3526 5109 5289 5371 5633 6396 6708 6812 7052 10218 10578 10742 11266 16113 16899 20436 21156 21484 22532 22919 32226 33798 45838 64452 67596 68757 69823 73229 91676 137514 139646 146458 209469 219687 230953 275028 279292 292916 418938 439374 461906 692859 837876 878748 923812 1385718 2771436 3002389 6004778 9007167 12009556 18014334 36028668