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11697966 = 233724421
BaseRepresentation
bin101100100111…
…111100101110
3211000022121000
4230213330232
510443313331
61054421130
7201300600
oct54477456
924008530
1011697966
11666a945
123b017a6
132567697
1417a7170
1510610e6
hexb27f2e

11697966 has 48 divisors (see below), whose sum is σ = 30246480. Its totient is φ = 3341520.

The previous prime is 11697953. The next prime is 11697967. The reversal of 11697966 is 66979611.

It is a super-3 number, since 3×116979663 (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11697967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (630135).

Almost surely, 211697966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11697966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15123240).

11697966 is an abundant number, since it is smaller than the sum of its proper divisors (18548514).

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

11697966 is a wasteful number, since it uses less digits than its factorization.

11697966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4433 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 11697966 is about 3420.2289397056. The cubic root of 11697966 is about 227.0057118502.

The spelling of 11697966 in words is "eleven million, six hundred ninety-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4421 8842 13263 26526 30947 39789 61894 79578 92841 119367 185682 216629 238734 278523 433258 557046 649887 835569 1299774 1671138 1949661 3899322 5848983 11697966