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11383820 = 2257314361
BaseRepresentation
bin101011011011…
…010000001100
3210102100122222
4223123100030
510403240240
61043554512
7165521660
oct53332014
923370588
1011383820
116475918
12398ba38
1324876b6
1417248a0
15eeceb5
hexadb40c

11383820 has 96 divisors (see below), whose sum is σ = 29331456. Its totient is φ = 3628800.

The previous prime is 11383807. The next prime is 11383843. The reversal of 11383820 is 2838311.

11383820 = T365 + T366 + ... + T488.

It is a self number, because there is not a number n which added to its sum of digits gives 11383820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186590 + ... + 186650.

It is an arithmetic number, because the mean of its divisors is an integer number (305536).

Almost surely, 211383820 is an apocalyptic number.

11383820 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 11383820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14665728).

11383820 is an abundant number, since it is smaller than the sum of its proper divisors (17947636).

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

11383820 is a wasteful number, since it uses less digits than its factorization.

11383820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11383820 is about 3373.9917012346. The cubic root of 11383820 is about 224.9551844899.

The spelling of 11383820 in words is "eleven million, three hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 43 61 62 70 86 122 124 140 155 172 215 217 244 301 305 310 427 430 434 602 610 620 854 860 868 1085 1204 1220 1333 1505 1708 1891 2135 2170 2623 2666 3010 3782 4270 4340 5246 5332 6020 6665 7564 8540 9331 9455 10492 13115 13237 13330 18361 18662 18910 26230 26474 26660 36722 37324 37820 46655 52460 52948 66185 73444 81313 91805 93310 132370 162626 183610 186620 264740 325252 367220 406565 569191 813130 1138382 1626260 2276764 2845955 5691910 11383820