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11340500 = 225337613
BaseRepresentation
bin101011010000…
…101011010100
3210100011020112
4223100223110
510400344000
61043022152
7165251453
oct53205324
923304215
1011340500
116446316
12396a958
132470a72
141712b9a
15ee0235
hexad0ad4

11340500 has 48 divisors (see below), whose sum is σ = 25478544. Its totient is φ = 4406400.

The previous prime is 11340491. The next prime is 11340503. The reversal of 11340500 is 504311.

It can be written as a sum of positive squares in 8 ways, for example, as 5180176 + 6160324 = 2276^2 + 2482^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340503) 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 15 ways as a sum of consecutive naturals, for example, 18194 + ... + 18806.

It is an arithmetic number, because the mean of its divisors is an integer number (530803).

Almost surely, 211340500 is an apocalyptic number.

11340500 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 11340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739272).

11340500 is an abundant number, since it is smaller than the sum of its proper divisors (14138044).

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

11340500 is a wasteful number, since it uses less digits than its factorization.

11340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11340500 is about 3367.5658865121. The cubic root of 11340500 is about 224.6694735400.

Adding to 11340500 its reverse (504311), we get a palindrome (11844811).

The spelling of 11340500 in words is "eleven million, three hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 613 740 925 1226 1850 2452 3065 3700 4625 6130 9250 12260 15325 18500 22681 30650 45362 61300 76625 90724 113405 153250 226810 306500 453620 567025 1134050 2268100 2835125 5670250 11340500