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11386740 = 22351011879
BaseRepresentation
bin101011011011…
…111101110100
3210102111200010
4223123331310
510403333430
61044020220
7165533331
oct53337564
923374603
1011386740
116478032
123991670
132488b21
141725988
15eedcb0
hexadbf74

11386740 has 48 divisors (see below), whose sum is σ = 32215680. Its totient is φ = 3004800.

The previous prime is 11386723. The next prime is 11386747. The reversal of 11386740 is 4768311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11386698 and 11386707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11386747) 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, 5121 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (671160).

Almost surely, 211386740 is an apocalyptic number.

11386740 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 11386740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107840).

11386740 is an abundant number, since it is smaller than the sum of its proper divisors (20828940).

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

11386740 is a wasteful number, since it uses less digits than its factorization.

11386740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11386740 is about 3374.4243953599. The cubic root of 11386740 is about 224.9744168443.

The spelling of 11386740 in words is "eleven million, three hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 1879 2020 3030 3758 5637 6060 7516 9395 11274 18790 22548 28185 37580 56370 112740 189779 379558 569337 759116 948895 1138674 1897790 2277348 2846685 3795580 5693370 11386740