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11195712 = 2633111931
BaseRepresentation
bin101010101101…
…010101000000
3210001210122000
4222231111000
510331230322
61035544000
7164106363
oct52552500
923053560
1011195712
116357560
1238bb000
13241cba8
1416b60da
15eb23ac
hexaad540

11195712 has 224 divisors, whose sum is σ = 39014400. Its totient is φ = 3110400.

The previous prime is 11195683. The next prime is 11195713. The reversal of 11195712 is 21759111.

It is a super-4 number, since 4×111957124 (a number of 29 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11195713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361137 + ... + 361167.

Almost surely, 211195712 is an apocalyptic number.

11195712 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 11195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507200).

11195712 is an abundant number, since it is smaller than the sum of its proper divisors (27818688).

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

11195712 is a wasteful number, since it uses less digits than its factorization.

11195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its digits is 630, while the sum is 27.

The square root of 11195712 is about 3345.9994022713. Note that the first 3 decimals coincide. The cubic root of 11195712 is about 223.7092315681.

The spelling of 11195712 in words is "eleven million, one hundred ninety-five thousand, seven hundred twelve".