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11919690 = 2335131337
BaseRepresentation
bin101101011110…
…000101001010
3211102120202000
4231132011022
511022412230
61103251430
7203213166
oct55360512
924376660
1011919690
116801492
123ba9b76
132614593
141823ca6
1510a6b60
hexb5e14a

11919690 has 64 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 3144960.

The previous prime is 11919683. The next prime is 11919709. The reversal of 11919690 is 9691911.

11919690 = 15422 + 15432 + ... + 15462.

11919690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119196902 = 284158019392200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35202 + ... + 35538.

It is an arithmetic number, because the mean of its divisors is an integer number (501930).

Almost surely, 211919690 is an apocalyptic number.

11919690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11919690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760).

11919690 is an abundant number, since it is smaller than the sum of its proper divisors (20203830).

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

11919690 is a wasteful number, since it uses less digits than its factorization.

11919690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The square root of 11919690 is about 3452.4904054899. The cubic root of 11919690 is about 228.4309715566.

The spelling of 11919690 in words is "eleven million, nine hundred nineteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 337 393 655 674 786 1011 1179 1310 1685 1965 2022 2358 3033 3370 3537 3930 5055 5895 6066 7074 9099 10110 11790 15165 17685 18198 30330 35370 44147 45495 88294 90990 132441 220735 264882 397323 441470 662205 794646 1191969 1324410 1986615 2383938 3973230 5959845 11919690