Search a number
-
+
74683686 = 237111737257
BaseRepresentation
bin1000111001110…
…01010100100110
312012112022202110
410130321110212
5123104334221
611224421450
71564541460
oct434712446
9165468673
1074683686
113917aa60
1221017886
131261b63c
149cc1130
156853776
hex4739526

74683686 has 128 divisors (see below), whose sum is σ = 203295744. Its totient is φ = 17694720.

The previous prime is 74683663. The next prime is 74683709. The reversal of 74683686 is 68638647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74683663) and next prime (74683709).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290470 + ... + 290726.

It is an arithmetic number, because the mean of its divisors is an integer number (1588248).

Almost surely, 274683686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74683686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101647872).

74683686 is an abundant number, since it is smaller than the sum of its proper divisors (128612058).

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

74683686 is a wasteful number, since it uses less digits than its factorization.

74683686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 1161216, while the sum is 48.

The square root of 74683686 is about 8641.9723443205. The cubic root of 74683686 is about 421.1226315291.

The spelling of 74683686 in words is "seventy-four million, six hundred eighty-three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 37 42 51 66 74 77 102 111 119 154 187 222 231 238 257 259 357 374 407 462 514 518 561 629 714 771 777 814 1122 1221 1258 1309 1542 1554 1799 1887 2442 2618 2827 2849 3598 3774 3927 4369 4403 5397 5654 5698 6919 7854 8481 8547 8738 8806 9509 10794 13107 13209 13838 16962 17094 19018 19789 20757 26214 26418 28527 30583 39578 41514 48059 48433 57054 59367 61166 66563 91749 96118 96866 104599 118734 133126 144177 145299 161653 183498 199689 209198 288354 290598 313797 323306 336413 399378 484959 627594 672826 732193 969918 1009239 1131571 1464386 1778183 2018478 2196579 2263142 3394713 3556366 4393158 5334549 6789426 10669098 12447281 24894562 37341843 74683686