Search a number
-
+
11168300 = 22521121371
BaseRepresentation
bin101010100110…
…101000101100
3210000102000202
4222212220230
510324341200
61035213032
7163633433
oct52465054
923012022
1011168300
116338a00
1238a7178
132410580
1416aa11a
15ea91d5
hexaa6a2c

11168300 has 108 divisors (see below), whose sum is σ = 29091888. Its totient is φ = 3696000.

The previous prime is 11168299. The next prime is 11168323. The reversal of 11168300 is 386111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 157265 + ... + 157335.

Almost surely, 211168300 is an apocalyptic number.

11168300 is a gapful number since it is divisible by the number (10) 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 11168300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545944).

11168300 is an abundant number, since it is smaller than the sum of its proper divisors (17923588).

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

11168300 is a wasteful number, since it uses less digits than its factorization.

11168300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11168300 is about 3341.9006568119. The cubic root of 11168300 is about 223.5265030038.

The spelling of 11168300 in words is "eleven million, one hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 71 100 110 121 130 142 143 220 242 260 275 284 286 325 355 484 550 572 605 650 710 715 781 923 1100 1210 1300 1420 1430 1562 1573 1775 1846 2420 2860 3025 3124 3146 3550 3575 3692 3905 4615 6050 6292 7100 7150 7810 7865 8591 9230 10153 12100 14300 15620 15730 17182 18460 19525 20306 23075 31460 34364 39050 39325 40612 42955 46150 50765 78100 78650 85910 92300 101530 111683 157300 171820 203060 214775 223366 253825 429550 446732 507650 558415 859100 1015300 1116830 2233660 2792075 5584150 11168300