Search a number
-
+
11361012 = 22313193833
BaseRepresentation
bin101011010101…
…101011110100
3210101012101020
4223111223310
510402023022
61043301140
7165365325
oct53255364
923335336
1011361012
11645a773
12397a7b0
13247a1c0
14171a44c
15ee635c
hexad5af4

11361012 has 48 divisors (see below), whose sum is σ = 30058560. Its totient is φ = 3310848.

The previous prime is 11361001. The next prime is 11361017. The reversal of 11361012 is 21016311.

It is a junction number, because it is equal to n+sod(n) for n = 11360982 and 11361000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361017) 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, 1048 + ... + 4880.

It is an arithmetic number, because the mean of its divisors is an integer number (626220).

Almost surely, 211361012 is an apocalyptic number.

11361012 is a gapful number since it is divisible by the number (12) 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 11361012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029280).

11361012 is an abundant number, since it is smaller than the sum of its proper divisors (18697548).

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

11361012 is a wasteful number, since it uses less digits than its factorization.

11361012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11361012 is about 3370.6100338069. The cubic root of 11361012 is about 224.8048480694.

Adding to 11361012 its reverse (21016311), we get a palindrome (32377323).

The spelling of 11361012 in words is "eleven million, three hundred sixty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 3833 7666 11499 15332 22998 45996 49829 72827 99658 145654 149487 199316 218481 291308 298974 436962 597948 873924 946751 1893502 2840253 3787004 5680506 11361012