Search a number
-
+
11930919 = 37111329137
BaseRepresentation
bin101101100000…
…110100100111
3211110011010220
4231200310213
511023242134
61103415423
7203261010
oct55406447
924404126
1011930919
116809970
123bb4573
132619720
141828007
1510aa149
hexb60d27

11930919 has 64 divisors (see below), whose sum is σ = 22256640. Its totient is φ = 5483520.

The previous prime is 11930873. The next prime is 11930927. The reversal of 11930919 is 91903911.

11930919 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11930919 - 28 = 11930663 is a prime.

It is a super-2 number, since 2×119309192 = 284693656369122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 11930919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87019 + ... + 87155.

It is an arithmetic number, because the mean of its divisors is an integer number (347760).

Almost surely, 211930919 is an apocalyptic number.

11930919 is a deficient number, since it is larger than the sum of its proper divisors (10325721).

11930919 is a wasteful number, since it uses less digits than its factorization.

11930919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 2187, while the sum is 33.

The square root of 11930919 is about 3454.1162400823. The cubic root of 11930919 is about 228.5026805336.

It can be divided in two parts, 11 and 930919, that added together give a triangular number (930930 = T1364).

The spelling of 11930919 in words is "eleven million, nine hundred thirty thousand, nine hundred nineteen".

Divisors: 1 3 7 11 13 21 29 33 39 77 87 91 137 143 203 231 273 319 377 411 429 609 957 959 1001 1131 1507 1781 2233 2639 2877 3003 3973 4147 4521 5343 6699 7917 10549 11919 12441 12467 19591 27811 29029 31647 37401 43703 51649 58773 83433 87087 131109 137137 154947 305921 361543 411411 568139 917763 1084629 1704417 3976973 11930919