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11313540 = 2233574173
BaseRepresentation
bin101011001010…
…000110000100
3210021210021000
4223022012010
510344013130
61042253300
7165110040
oct53120604
923253230
1011313540
116428037
123957230
132461704
141707020
15ed7260
hexaca184

11313540 has 192 divisors, whose sum is σ = 41771520. Its totient is φ = 2488320.

The previous prime is 11313521. The next prime is 11313557. The reversal of 11313540 is 4531311.

11313540 is a `hidden beast` number, since 113 + 13 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154944 + ... + 155016.

It is an arithmetic number, because the mean of its divisors is an integer number (217560).

Almost surely, 211313540 is an apocalyptic number.

11313540 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 11313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885760).

11313540 is an abundant number, since it is smaller than the sum of its proper divisors (30457980).

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

11313540 is a wasteful number, since it uses less digits than its factorization.

11313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11313540 is about 3363.5606133977. The cubic root of 11313540 is about 224.4912951752.

Adding to 11313540 its reverse (4531311), we get a palindrome (15844851).

The spelling of 11313540 in words is "eleven million, three hundred thirteen thousand, five hundred forty".