Search a number
-
+
11084931 = 351121329
BaseRepresentation
bin101010010010…
…010010000011
3202212011200000
4222102102003
510314204211
61033331043
7163135404
oct52222203
922764600
1011084931
116291300
123866a83
1323b1640
1416879ab
15e8e656
hexa92483

11084931 has 72 divisors (see below), whose sum is σ = 20333040. Its totient is φ = 5987520.

The previous prime is 11084929. The next prime is 11084939. The reversal of 11084931 is 13948011.

It is not a de Polignac number, because 11084931 - 21 = 11084929 is a prime.

It is a super-2 number, since 2×110849312 = 245751390549522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11084895 and 11084904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11084939) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382225 + ... + 382253.

Almost surely, 211084931 is an apocalyptic number.

11084931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11084931 is the 2106-th heptagonal number.

11084931 is a deficient number, since it is larger than the sum of its proper divisors (9248109).

11084931 is a wasteful number, since it uses less digits than its factorization.

11084931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11084931 is about 3329.4040007184. The cubic root of 11084931 is about 222.9689205750.

The spelling of 11084931 in words is "eleven million, eighty-four thousand, nine hundred thirty-one".

Divisors: 1 3 9 11 13 27 29 33 39 81 87 99 117 121 143 243 261 297 319 351 363 377 429 783 891 957 1053 1089 1131 1287 1573 2349 2673 2871 3159 3267 3393 3509 3861 4147 4719 7047 8613 9801 10179 10527 11583 12441 14157 25839 29403 30537 31581 34749 37323 42471 45617 77517 91611 94743 111969 127413 136851 284229 335907 382239 410553 852687 1007721 1231659 3694977 11084931