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11817390 = 23513157193
BaseRepresentation
bin101101000101…
…000110101110
3211020101102010
4231011012232
511011124030
61101142050
7202306014
oct55050656
924211363
1011817390
116741642
123b5a926
1325a9b50
1417d88b4
1510866b0
hexb451ae

11817390 has 64 divisors (see below), whose sum is σ = 30897216. Its totient is φ = 2875392.

The previous prime is 11817383. The next prime is 11817391. The reversal of 11817390 is 9371811.

11817390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61134 + ... + 61326.

It is an arithmetic number, because the mean of its divisors is an integer number (482769).

Almost surely, 211817390 is an apocalyptic number.

11817390 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 11817390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448608).

11817390 is an abundant number, since it is smaller than the sum of its proper divisors (19079826).

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

11817390 is a wasteful number, since it uses less digits than its factorization.

11817390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 11817390 is about 3437.6430879310. The cubic root of 11817390 is about 227.7755948410.

The spelling of 11817390 in words is "eleven million, eight hundred seventeen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 157 193 195 314 386 390 471 579 785 942 965 1158 1570 1930 2041 2355 2509 2895 4082 4710 5018 5790 6123 7527 10205 12246 12545 15054 20410 25090 30301 30615 37635 60602 61230 75270 90903 151505 181806 303010 393913 454515 787826 909030 1181739 1969565 2363478 3939130 5908695 11817390