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11323780 = 2251397449
BaseRepresentation
bin101011001100…
…100110000100
3210022022022021
4223030212010
510344330110
61042412524
7165151636
oct53144604
923268267
1011323780
1164347a6
123961144
132466280
14170aa56
15eda2da
hexacc984

11323780 has 48 divisors (see below), whose sum is σ = 25930800. Its totient is φ = 4128768.

The previous prime is 11323777. The next prime is 11323783. The reversal of 11323780 is 8732311.

It is an interprime number because it is at equal distance from previous prime (11323777) and next prime (11323783).

It can be written as a sum of positive squares in 8 ways, for example, as 617796 + 10705984 = 786^2 + 3272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24996 + ... + 25444.

It is an arithmetic number, because the mean of its divisors is an integer number (540225).

Almost surely, 211323780 is an apocalyptic number.

11323780 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 11323780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12965400).

11323780 is an abundant number, since it is smaller than the sum of its proper divisors (14607020).

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

11323780 is a wasteful number, since it uses less digits than its factorization.

11323780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 11323780 is about 3365.0824655571. The cubic root of 11323780 is about 224.5590045352.

The spelling of 11323780 in words is "eleven million, three hundred twenty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 449 485 898 970 1261 1796 1940 2245 2522 4490 5044 5837 6305 8980 11674 12610 23348 25220 29185 43553 58370 87106 116740 174212 217765 435530 566189 871060 1132378 2264756 2830945 5661890 11323780