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11266740 = 22325531181
BaseRepresentation
bin101010111110…
…101010110100
3210012102001200
4222332222310
510341013430
61041252500
7164523432
oct52765264
923172050
1011266740
1163a5961
123934130
132446314
1416d3d52
15ec8460
hexabeab4

11266740 has 72 divisors (see below), whose sum is σ = 34850088. Its totient is φ = 2945280.

The previous prime is 11266727. The next prime is 11266741. The reversal of 11266740 is 4766211.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 6780816 = 2118^2 + 2604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11266741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8950 + ... + 10130.

It is an arithmetic number, because the mean of its divisors is an integer number (484029).

Almost surely, 211266740 is an apocalyptic number.

11266740 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 11266740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425044).

11266740 is an abundant number, since it is smaller than the sum of its proper divisors (23583348).

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

11266740 is a wasteful number, since it uses less digits than its factorization.

11266740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11266740 is about 3356.5964904945. The cubic root of 11266740 is about 224.1813210862.

The spelling of 11266740 in words is "eleven million, two hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1181 1590 1908 2362 2385 3180 3543 4724 4770 5905 7086 9540 10629 11810 14172 17715 21258 23620 35430 42516 53145 62593 70860 106290 125186 187779 212580 250372 312965 375558 563337 625930 751116 938895 1126674 1251860 1877790 2253348 2816685 3755580 5633370 11266740