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11166040 = 2352353229
BaseRepresentation
bin101010100110…
…000101011000
3210000021221001
4222212011120
510324303130
61035154344
7163624024
oct52460530
923007831
1011166040
116337236
1238a59b4
13240c532
1416a9384
15ea86ca
hexaa6158

11166040 has 64 divisors (see below), whose sum is σ = 26827200. Its totient is φ = 4173312.

The previous prime is 11166037. The next prime is 11166049. The reversal of 11166040 is 4066111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11165999 and 11166017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48646 + ... + 48874.

It is an arithmetic number, because the mean of its divisors is an integer number (419175).

Almost surely, 211166040 is an apocalyptic number.

11166040 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 11166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413600).

11166040 is an abundant number, since it is smaller than the sum of its proper divisors (15661160).

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

11166040 is a wasteful number, since it uses less digits than its factorization.

11166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11166040 is about 3341.5625087674. The cubic root of 11166040 is about 223.5114244936.

The spelling of 11166040 in words is "eleven million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 53 92 106 115 184 212 229 230 265 424 458 460 530 916 920 1060 1145 1219 1832 2120 2290 2438 4580 4876 5267 6095 9160 9752 10534 12137 12190 21068 24274 24380 26335 42136 48548 48760 52670 60685 97096 105340 121370 210680 242740 279151 485480 558302 1116604 1395755 2233208 2791510 5583020 11166040