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11882190 = 2354361151
BaseRepresentation
bin101101010100…
…111011001110
3211100200022010
4231110323032
511020212230
61102402050
7202665645
oct55247316
924320263
1011882190
1167862a1
123b90326
1326004a8
14181435c
15109a9b0
hexb54ece

11882190 has 64 divisors (see below), whose sum is σ = 29855232. Its totient is φ = 3024000.

The previous prime is 11882179. The next prime is 11882203. The reversal of 11882190 is 9128811.

It is a super-2 number, since 2×118821902 = 282372878392200, which contains 22 as substring.

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

It is a congruent 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, 78615 + ... + 78765.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 211882190 is an apocalyptic number.

11882190 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 11882190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927616).

11882190 is an abundant number, since it is smaller than the sum of its proper divisors (17973042).

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

11882190 is a wasteful number, since it uses less digits than its factorization.

11882190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11882190 is about 3447.0552650052. The cubic root of 11882190 is about 228.1911677706.

The spelling of 11882190 in words is "eleven million, eight hundred eighty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 61 86 122 129 151 183 215 258 302 305 366 430 453 610 645 755 906 915 1290 1510 1830 2265 2623 4530 5246 6493 7869 9211 12986 13115 15738 18422 19479 26230 27633 32465 38958 39345 46055 55266 64930 78690 92110 97395 138165 194790 276330 396073 792146 1188219 1980365 2376438 3960730 5941095 11882190