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11809944 = 2332198997
BaseRepresentation
bin101101000011…
…010010011000
3211020000012100
4231003102120
511010404234
61101043400
7202245216
oct55032230
924200170
1011809944
116736a93
123b56560
1325a6643
1417d5cb6
151084399
hexb43498

11809944 has 96 divisors (see below), whose sum is σ = 34398000. Its totient is φ = 3649536.

The previous prime is 11809943. The next prime is 11809949. The reversal of 11809944 is 44990811.

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 = 11809899 and 11809908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11809943) 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, 121704 + ... + 121800.

Almost surely, 211809944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11809944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199000).

11809944 is an abundant number, since it is smaller than the sum of its proper divisors (22588056).

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

11809944 is a wasteful number, since it uses less digits than its factorization.

11809944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11809944 is about 3436.5599078148. The cubic root of 11809944 is about 227.7277452054.

The spelling of 11809944 in words is "eleven million, eight hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 89 97 114 152 171 178 194 228 267 291 342 356 388 456 534 582 684 712 776 801 873 1068 1164 1368 1602 1691 1746 1843 2136 2328 3204 3382 3492 3686 5073 5529 6408 6764 6984 7372 8633 10146 11058 13528 14744 15219 16587 17266 20292 22116 25899 30438 33174 34532 40584 44232 51798 60876 66348 69064 77697 103596 121752 132696 155394 164027 207192 310788 328054 492081 621576 656108 984162 1312216 1476243 1968324 2952486 3936648 5904972 11809944