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11809032 = 2331922947
BaseRepresentation
bin101101000011…
…000100001000
3211012221221120
4231003010020
511010342112
61101035240
7202242444
oct55030410
924187846
1011809032
116736334
123b55b20
1325a60c1
1417d5824
151083e8c
hexb43108

11809032 has 96 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 3523968.

The previous prime is 11809019. The next prime is 11809043. The reversal of 11809032 is 23090811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11808993 and 11809011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251233 + ... + 251279.

It is an arithmetic number, because the mean of its divisors is an integer number (342900).

Almost surely, 211809032 is an apocalyptic number.

11809032 is a gapful number since it is divisible by the number (12) 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 11809032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

11809032 is an abundant number, since it is smaller than the sum of its proper divisors (21109368).

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

11809032 is a wasteful number, since it uses less digits than its factorization.

11809032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11809032 is about 3436.4272144191. The cubic root of 11809032 is about 227.7218831101.

Adding to 11809032 its reverse (23090811), we get a palindrome (34899843).

The spelling of 11809032 in words is "eleven million, eight hundred nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 47 57 58 76 87 94 114 116 141 152 174 188 228 232 282 348 361 376 456 551 564 696 722 893 1083 1102 1128 1363 1444 1653 1786 2166 2204 2679 2726 2888 3306 3572 4089 4332 4408 5358 5452 6612 7144 8178 8664 10469 10716 10904 13224 16356 16967 20938 21432 25897 31407 32712 33934 41876 50901 51794 62814 67868 77691 83752 101802 103588 125628 135736 155382 203604 207176 251256 310764 407208 492043 621528 984086 1476129 1968172 2952258 3936344 5904516 11809032