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11889540 = 22325135081
BaseRepresentation
bin101101010110…
…101110000100
3211101001101100
4231112232010
511020431130
61102500100
7203026245
oct55265604
924331340
1011889540
116790873
123b94630
132603940
141816ccc
15109cc60
hexb56b84

11889540 has 72 divisors (see below), whose sum is σ = 38846808. Its totient is φ = 2926080.

The previous prime is 11889539. The next prime is 11889547. The reversal of 11889540 is 4598811.

11889540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 11819844 = 264^2 + 3438^2 .

It is a super-2 number, since 2×118895402 = 282722322823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11889495 and 11889504.

It is not an unprimeable number, because it can be changed into a prime (11889547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (539539).

Almost surely, 211889540 is an apocalyptic number.

11889540 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 11889540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423404).

11889540 is an abundant number, since it is smaller than the sum of its proper divisors (26957268).

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

11889540 is a wasteful number, since it uses less digits than its factorization.

11889540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11889540 is about 3448.1212275673. The cubic root of 11889540 is about 228.2382090252.

The spelling of 11889540 in words is "eleven million, eight hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 5081 10162 15243 20324 25405 30486 45729 50810 60972 66053 76215 91458 101620 132106 152430 182916 198159 228645 264212 304860 330265 396318 457290 594477 660530 792636 914580 990795 1188954 1321060 1981590 2377908 2972385 3963180 5944770 11889540