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11379690 = 23657223
BaseRepresentation
bin101011011010…
…001111101010
3210102011000000
4223122033222
510403122230
61043523430
7165503640
oct53321752
923364000
1011379690
116472803
123989576
13248585a
141723190
15eebb60
hexada3ea

11379690 has 112 divisors (see below), whose sum is σ = 35255808. Its totient is φ = 2589408.

The previous prime is 11379679. The next prime is 11379691. The reversal of 11379690 is 9697311.

It is a super-2 number, since 2×113796902 = 258994688992200, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11379691) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50919 + ... + 51141.

It is an arithmetic number, because the mean of its divisors is an integer number (314784).

Almost surely, 211379690 is an apocalyptic number.

11379690 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 11379690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17627904).

11379690 is an abundant number, since it is smaller than the sum of its proper divisors (23876118).

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

11379690 is an equidigital number, since it uses as much as digits as its factorization.

11379690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 11379690 is about 3373.3796110133. The cubic root of 11379690 is about 224.9279769477.

The spelling of 11379690 in words is "eleven million, three hundred seventy-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 223 243 270 315 378 405 446 486 567 630 669 729 810 945 1115 1134 1215 1338 1458 1561 1701 1890 2007 2230 2430 2835 3122 3345 3402 3645 4014 4683 5103 5670 6021 6690 7290 7805 8505 9366 10035 10206 12042 14049 15610 17010 18063 20070 23415 25515 28098 30105 36126 42147 46830 51030 54189 60210 70245 84294 90315 108378 126441 140490 162567 180630 210735 252882 270945 325134 379323 421470 541890 632205 758646 812835 1137969 1264410 1625670 1896615 2275938 3793230 5689845 11379690