Search a number
-
+
11384680 = 235436619
BaseRepresentation
bin101011011011…
…011101101000
3210102101211211
4223123131220
510403302210
61044002504
7165524326
oct53333550
923371754
1011384680
11647652a
123990434
132487bc8
141724d16
15eed38a
hexadb768

11384680 has 32 divisors (see below), whose sum is σ = 26215200. Its totient is φ = 4447296.

The previous prime is 11384677. The next prime is 11384683. The reversal of 11384680 is 8648311.

It is an interprime number because it is at equal distance from previous prime (11384677) and next prime (11384683).

It is a super-2 number, since 2×113846802 = 259221877404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11384683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1590 + ... + 5029.

It is an arithmetic number, because the mean of its divisors is an integer number (819225).

Almost surely, 211384680 is an apocalyptic number.

11384680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11384680 is an abundant number, since it is smaller than the sum of its proper divisors (14830520).

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

11384680 is a wasteful number, since it uses less digits than its factorization.

11384680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 11384680 is about 3374.1191443101. The cubic root of 11384680 is about 224.9608491551.

The spelling of 11384680 in words is "eleven million, three hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 6619 13238 26476 33095 52952 66190 132380 264760 284617 569234 1138468 1423085 2276936 2846170 5692340 11384680