Search a number
-
+
168264404 = 227113117623
BaseRepresentation
bin10100000011110…
…00001011010100
3102201121201100222
422001320023110
5321033430104
624410253512
74112136530
oct1201701324
9381551328
10168264404
1186a875a0
1248427298
1328b25349
14184c0bc0
15eb8b1be
hexa0782d4

168264404 has 48 divisors (see below), whose sum is σ = 378986496. Its totient is φ = 63439200.

The previous prime is 168264367. The next prime is 168264407. The reversal of 168264404 is 404462861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168264407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (7895552).

Almost surely, 2168264404 is an apocalyptic number.

168264404 is a gapful number since it is divisible by the number (14) 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 168264404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189493248).

168264404 is an abundant number, since it is smaller than the sum of its proper divisors (210722092).

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

168264404 is a wasteful number, since it uses less digits than its factorization.

168264404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676 (or 17674 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 168264404 is about 12971.6769925866. The cubic root of 168264404 is about 552.0741560039.

The spelling of 168264404 in words is "one hundred sixty-eight million, two hundred sixty-four thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 17623 35246 70492 123361 193853 246722 387706 493444 546313 775412 1092626 1356971 2185252 2713942 3824191 5427884 6009443 7648382 12018886 15296764 24037772 42066101 84132202 168264404