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11168240 = 2451371019
BaseRepresentation
bin101010100110…
…100111110000
3210000101221112
4222212213300
510324340430
61035212452
7163633316
oct52464760
923011845
1011168240
116338956
1238a7128
132410535
1416aa0b6
15ea9195
hexaa69f0

11168240 has 40 divisors (see below), whose sum is σ = 26181360. Its totient is φ = 4430336.

The previous prime is 11168237. The next prime is 11168263. The reversal of 11168240 is 4286111.

11168240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10451 + ... + 11469.

It is an arithmetic number, because the mean of its divisors is an integer number (654534).

Almost surely, 211168240 is an apocalyptic number.

11168240 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 11168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090680).

11168240 is an abundant number, since it is smaller than the sum of its proper divisors (15013120).

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

11168240 is a wasteful number, since it uses less digits than its factorization.

11168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11168240 is about 3341.8916798723. The cubic root of 11168240 is about 223.5261027157.

The spelling of 11168240 in words is "eleven million, one hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1019 1096 1370 2038 2192 2740 4076 5095 5480 8152 10190 10960 16304 20380 40760 81520 139603 279206 558412 698015 1116824 1396030 2233648 2792060 5584120 11168240