Search a number
-
+
10995960 = 2335432131
BaseRepresentation
bin101001111100…
…100011111000
3202200122121210
4221330203320
510303332320
61031403120
7162315123
oct51744370
922618553
1010995960
116230478
1238234a0
13237ccb1
1416633ba
15e730e0
hexa7c8f8

10995960 has 64 divisors (see below), whose sum is σ = 33770880. Its totient is φ = 2862720.

The previous prime is 10995947. The next prime is 10995961. The reversal of 10995960 is 6959901.

It is a super-2 number, since 2×109959602 = 241822272643200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10995961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095 + ... + 6225.

It is an arithmetic number, because the mean of its divisors is an integer number (527670).

Almost surely, 210995960 is an apocalyptic number.

10995960 is a gapful number since it is divisible by the number (10) 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 10995960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885440).

10995960 is an abundant number, since it is smaller than the sum of its proper divisors (22774920).

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

10995960 is a wasteful number, since it uses less digits than its factorization.

10995960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 10995960 is about 3316.0156815069. The cubic root of 10995960 is about 222.3707788152.

It can be divided in two parts, 109 and 95960, that added together give a palindrome (96069).

The spelling of 10995960 in words is "ten million, nine hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2131 2580 4262 5160 6393 8524 10655 12786 17048 21310 25572 31965 42620 51144 63930 85240 91633 127860 183266 255720 274899 366532 458165 549798 733064 916330 1099596 1374495 1832660 2199192 2748990 3665320 5497980 10995960