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11306040 = 2335711327
BaseRepresentation
bin101011001000…
…010000111000
3210021101222020
4223020100320
510343243130
61042154440
7165046134
oct53102070
923241866
1011306040
116422439
123952a20
13245b185
1417043c4
15ed4e10
hexac8438

11306040 has 64 divisors (see below), whose sum is σ = 34421760. Its totient is φ = 2970240.

The previous prime is 11306039. The next prime is 11306047. The reversal of 11306040 is 4060311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7857 + ... + 9183.

It is an arithmetic number, because the mean of its divisors is an integer number (537840).

Almost surely, 211306040 is an apocalyptic number.

11306040 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 11306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210880).

11306040 is an abundant number, since it is smaller than the sum of its proper divisors (23115720).

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

11306040 is a wasteful number, since it uses less digits than its factorization.

11306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11306040 is about 3362.4455385924. The cubic root of 11306040 is about 224.4416774340.

Adding to 11306040 its reverse (4060311), we get a palindrome (15366351).

The spelling of 11306040 in words is "eleven million, three hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1327 1420 1704 2130 2654 2840 3981 4260 5308 6635 7962 8520 10616 13270 15924 19905 26540 31848 39810 53080 79620 94217 159240 188434 282651 376868 471085 565302 753736 942170 1130604 1413255 1884340 2261208 2826510 3768680 5653020 11306040