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11400740 = 2251323373
BaseRepresentation
bin101011011111…
…011000100100
3210110012212122
4223133120210
510404310430
61044205112
7165622211
oct53373044
923405778
1011400740
1164875aa
123999798
132492300
14172ab08
151002ee5
hexadf624

11400740 has 36 divisors (see below), whose sum is σ = 25932564. Its totient is φ = 4208256.

The previous prime is 11400737. The next prime is 11400749. The reversal of 11400740 is 4700411.

It can be written as a sum of positive squares in 6 ways, for example, as 164836 + 11235904 = 406^2 + 3352^2 .

It is not an unprimeable number, because it can be changed into a prime (11400749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1694 + ... + 5066.

It is an arithmetic number, because the mean of its divisors is an integer number (720349).

Almost surely, 211400740 is an apocalyptic number.

11400740 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 11400740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966282).

11400740 is an abundant number, since it is smaller than the sum of its proper divisors (14531824).

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

11400740 is a wasteful number, since it uses less digits than its factorization.

11400740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 11400740 is about 3376.4981859909. The cubic root of 11400740 is about 225.0665811187.

The spelling of 11400740 in words is "eleven million, four hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3373 3380 6746 13492 16865 33730 43849 67460 87698 175396 219245 438490 570037 876980 1140074 2280148 2850185 5700370 11400740