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11935380 = 2235672969
BaseRepresentation
bin101101100001…
…111010010100
3211110101021010
4231201322110
511023413010
61103452220
7203310012
oct55417224
924411233
1011935380
116812256
123bb7070
13261b772
1418298b2
1510ab620
hexb61e94

11935380 has 48 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 3134208.

The previous prime is 11935369. The next prime is 11935393. The reversal of 11935380 is 8353911.

It is a happy number.

11935380 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 211935380 is an apocalyptic number.

11935380 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 11935380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

11935380 is an abundant number, since it is smaller than the sum of its proper divisors (21993900).

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

11935380 is a wasteful number, since it uses less digits than its factorization.

11935380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 11935380 is about 3454.7619310164. The cubic root of 11935380 is about 228.5311562232.

The spelling of 11935380 in words is "eleven million, nine hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2969 4020 5938 8907 11876 14845 17814 29690 35628 44535 59380 89070 178140 198923 397846 596769 795692 994615 1193538 1989230 2387076 2983845 3978460 5967690 11935380