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11808940 = 22511134129
BaseRepresentation
bin101101000011…
…000010101100
3211012221211011
4231003002230
511010341230
61101035004
7202242253
oct55030254
924187734
1011808940
116736260
123b55a64
1325a6050
1417d579a
151083e2a
hexb430ac

11808940 has 48 divisors (see below), whose sum is σ = 29141280. Its totient is φ = 3962880.

The previous prime is 11808919. The next prime is 11808941. The reversal of 11808940 is 4980811.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11808941) 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, 796 + ... + 4924.

It is an arithmetic number, because the mean of its divisors is an integer number (607110).

Almost surely, 211808940 is an apocalyptic number.

11808940 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 11808940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570640).

11808940 is an abundant number, since it is smaller than the sum of its proper divisors (17332340).

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

11808940 is a wasteful number, since it uses less digits than its factorization.

11808940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 11808940 is about 3436.4138283973. The cubic root of 11808940 is about 227.7212917417.

The spelling of 11808940 in words is "eleven million, eight hundred eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 4129 8258 16516 20645 41290 45419 53677 82580 90838 107354 181676 214708 227095 268385 454190 536770 590447 908380 1073540 1180894 2361788 2952235 5904470 11808940