Search a number
-
+
11168432 = 2411233189
BaseRepresentation
bin101010100110…
…101010110000
3210000102012122
4222212222300
510324342212
61035213412
7163634012
oct52465260
923012178
1011168432
116339010
1238a7268
132410652
1416aa1b2
15ea9272
hexaa6ab0

11168432 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 4646400.

The previous prime is 11168419. The next prime is 11168453. The reversal of 11168432 is 23486111.

It is an unprimeable number.

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, 125444 + ... + 125532.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 211168432 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 11168432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

11168432 is an abundant number, since it is smaller than the sum of its proper divisors (14544208).

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

11168432 is a wasteful number, since it uses less digits than its factorization.

11168432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 11168432 is about 3341.9204059941. The cubic root of 11168432 is about 223.5273836327.

The spelling of 11168432 in words is "eleven million, one hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 89 92 124 176 178 184 248 253 341 356 368 496 506 682 712 713 979 1012 1364 1424 1426 1958 2024 2047 2728 2759 2852 3916 4048 4094 5456 5518 5704 7832 7843 8188 11036 11408 15664 15686 16376 22072 22517 30349 31372 32752 44144 45034 60698 62744 63457 90068 121396 125488 126914 180136 242792 253828 360272 485584 507656 698027 1015312 1396054 2792108 5584216 11168432