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11961132 = 2231723449
BaseRepresentation
bin101101101000…
…001100101100
3211111200120220
4231220030230
511030224012
61104211340
7203445051
oct55501454
924450526
1011961132
11682a637
124009b50
13262a3c1
141835028
1510b408c
hexb6832c

11961132 has 36 divisors (see below), whose sum is σ = 29656200. Its totient is φ = 3751424.

The previous prime is 11961121. The next prime is 11961143. The reversal of 11961132 is 23116911.

It is an interprime number because it is at equal distance from previous prime (11961121) and next prime (11961143).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744 + ... + 5192.

Almost surely, 211961132 is an apocalyptic number.

11961132 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 11961132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828100).

11961132 is an abundant number, since it is smaller than the sum of its proper divisors (17695068).

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

11961132 is a wasteful number, since it uses less digits than its factorization.

11961132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3471 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

The square root of 11961132 is about 3458.4869524114. The cubic root of 11961132 is about 228.6953991932.

The spelling of 11961132 in words is "eleven million, nine hundred sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 3449 3468 6898 10347 13796 20694 41388 58633 117266 175899 234532 351798 703596 996761 1993522 2990283 3987044 5980566 11961132