Search a number
-
+
11910834 = 2331319247
BaseRepresentation
bin101101011011…
…111010110010
3211102010121000
4231123322302
511022121314
61103142430
7203145315
oct55337262
924363530
1011910834
1167a5871
123ba4a16
132610540
14182097c
1510a4209
hexb5beb2

11910834 has 96 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3398112.

The previous prime is 11910823. The next prime is 11910841. The reversal of 11910834 is 43801911.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11910798 and 11910807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253399 + ... + 253445.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 211910834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11910834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

11910834 is an abundant number, since it is smaller than the sum of its proper divisors (18813006).

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

11910834 is a wasteful number, since it uses less digits than its factorization.

11910834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

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

The square root of 11910834 is about 3451.2076147343. The cubic root of 11910834 is about 228.3743849089.

The spelling of 11910834 in words is "eleven million, nine hundred ten thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 47 54 57 78 94 114 117 141 171 234 247 282 342 351 361 423 494 513 611 702 722 741 846 893 1026 1083 1222 1269 1482 1786 1833 2166 2223 2538 2679 3249 3666 4446 4693 5358 5499 6498 6669 8037 9386 9747 10998 11609 13338 14079 16074 16497 16967 19494 23218 24111 28158 32994 33934 34827 42237 48222 50901 69654 84474 101802 104481 126711 152703 208962 220571 253422 305406 313443 441142 458109 626886 661713 916218 1323426 1985139 3970278 5955417 11910834