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11195940 = 22357192361
BaseRepresentation
bin101010101101…
…011000100100
3210001210221110
4222231120210
510331232230
61035545020
7164110140
oct52553044
923053843
1011195940
116357748
1238bb170
132420022
1416b6220
15eb24b0
hexaad624

11195940 has 192 divisors, whose sum is σ = 39997440. Its totient is φ = 2280960.

The previous prime is 11195923. The next prime is 11195957. The reversal of 11195940 is 4959111.

It is an interprime number because it is at equal distance from previous prime (11195923) and next prime (11195957).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11195898 and 11195907.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 183510 + ... + 183570.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 211195940 is an apocalyptic number.

11195940 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 11195940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11195940 is an abundant number, since it is smaller than the sum of its proper divisors (28801500).

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

11195940 is a wasteful number, since it uses less digits than its factorization.

11195940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 11195940 is about 3346.0334726359. The cubic root of 11195940 is about 223.7107501661.

The spelling of 11195940 in words is "eleven million, one hundred ninety-five thousand, nine hundred forty".