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11196500 = 225372457
BaseRepresentation
bin101010101101…
…100001010100
3210001211201012
4222231201110
510331242000
61035551352
7164111600
oct52554124
923054635
1011196500
116358107
1238bb558
132420363
1416b6500
15eb2735
hexaad854

11196500 has 72 divisors (see below), whose sum is σ = 28507752. Its totient is φ = 3830400.

The previous prime is 11196463. The next prime is 11196503. The reversal of 11196500 is 569111.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 11195716 = 28^2 + 3346^2 .

It is a super-2 number, since 2×111965002 = 250723224500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11196503) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24272 + ... + 24728.

It is an arithmetic number, because the mean of its divisors is an integer number (395941).

Almost surely, 211196500 is an apocalyptic number.

11196500 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 11196500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253876).

11196500 is an abundant number, since it is smaller than the sum of its proper divisors (17311252).

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

11196500 is a wasteful number, since it uses less digits than its factorization.

11196500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 11196500 is about 3346.1171527608. The cubic root of 11196500 is about 223.7144799685.

The spelling of 11196500 in words is "eleven million, one hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 350 457 490 500 700 875 914 980 1225 1750 1828 2285 2450 3199 3500 4570 4900 6125 6398 9140 11425 12250 12796 15995 22393 22850 24500 31990 44786 45700 57125 63980 79975 89572 111965 114250 159950 223930 228500 319900 399875 447860 559825 799750 1119650 1599500 2239300 2799125 5598250 11196500