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16134768 = 243313317
BaseRepresentation
bin111101100011…
…001001110000
31010100201202000
4331203021300
513112303033
61333454000
7254100066
oct75431160
933321660
1016134768
119120321
1254a1300
13345c000
142200036
15163aa13
hexf63270

16134768 has 160 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 4672512.

The previous prime is 16134749. The next prime is 16134779. The reversal of 16134768 is 86743161.

16134768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949096 + ... + 949112.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 216134768 is an apocalyptic number.

16134768 is a gapful number since it is divisible by the number (18) 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 16134768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

16134768 is an abundant number, since it is smaller than the sum of its proper divisors (36986832).

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

16134768 is a wasteful number, since it uses less digits than its factorization.

16134768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 16134768 is about 4016.8106751501. The cubic root of 16134768 is about 252.6897204996.

The spelling of 16134768 in words is "sixteen million, one hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 169 204 208 216 221 234 272 306 312 338 351 408 432 442 459 468 507 612 624 663 676 702 816 884 918 936 1014 1224 1326 1352 1404 1521 1768 1836 1872 1989 2028 2197 2448 2652 2704 2808 2873 3042 3536 3672 3978 4056 4394 4563 5304 5616 5746 5967 6084 6591 7344 7956 8112 8619 8788 9126 10608 11492 11934 12168 13182 15912 17238 17576 18252 19773 22984 23868 24336 25857 26364 31824 34476 35152 36504 37349 39546 45968 47736 51714 52728 59319 68952 73008 74698 77571 79092 95472 103428 105456 112047 118638 137904 149396 155142 158184 206856 224094 237276 298792 310284 316368 336141 413712 448188 474552 597584 620568 672282 896376 949104 1008423 1241136 1344564 1792752 2016846 2689128 4033692 5378256 8067384 16134768