Search a number
-
+
914875668 = 22337324697
BaseRepresentation
bin110110100001111…
…110010100010100
32100202111111111000
4312201332110110
53333202010133
6230440543300
731446213000
oct6641762424
92322444430
10914875668
1142a4726a3
12216481b30
13117704565
148970d700
15554b9413
hex3687e514

914875668 has 96 divisors (see below), whose sum is σ = 2766176000. Its totient is φ = 261382464.

The previous prime is 914875667. The next prime is 914875679. The reversal of 914875668 is 866578419.

914875668 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914875667) 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, 24696 + ... + 49392.

Almost surely, 2914875668 is an apocalyptic number.

914875668 is a gapful number since it is divisible by the number (98) 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 914875668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383088000).

914875668 is an abundant number, since it is smaller than the sum of its proper divisors (1851300332).

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

914875668 is a wasteful number, since it uses less digits than its factorization.

914875668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24731 (or 24709 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 914875668 is about 30246.9117101234. The cubic root of 914875668 is about 970.7797138841.

The spelling of 914875668 in words is "nine hundred fourteen million, eight hundred seventy-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4116 5292 6174 9261 12348 18522 24697 37044 49394 74091 98788 148182 172879 222273 296364 345758 444546 518637 666819 691516 889092 1037274 1210153 1333638 1555911 2074548 2420306 2667276 3111822 3630459 4667733 4840612 6223644 7260918 8471071 9335466 10891377 14521836 16942142 18670932 21782754 25413213 32674131 33884284 43565508 50826426 65348262 76239639 101652852 130696524 152479278 228718917 304958556 457437834 914875668