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11319540 = 2235832273
BaseRepresentation
bin101011001011…
…100011110100
3210022002111020
4223023203310
510344211130
61042341140
7165133401
oct53134364
923262436
1011319540
1164315a1
12395a7b0
13246436b
1417092a8
15ed8e10
hexacb8f4

11319540 has 48 divisors (see below), whose sum is σ = 32090688. Its totient is φ = 2980864.

The previous prime is 11319533. The next prime is 11319547. The reversal of 11319540 is 4591311.

It is an interprime number because it is at equal distance from previous prime (11319533) and next prime (11319547).

It is a self number, because there is not a number n which added to its sum of digits gives 11319540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11319547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3844 + ... + 6116.

It is an arithmetic number, because the mean of its divisors is an integer number (668556).

Almost surely, 211319540 is an apocalyptic number.

11319540 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 11319540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045344).

11319540 is an abundant number, since it is smaller than the sum of its proper divisors (20771148).

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

11319540 is a wasteful number, since it uses less digits than its factorization.

11319540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 11319540 is about 3364.4524071534. The cubic root of 11319540 is about 224.5309735821.

The spelling of 11319540 in words is "eleven million, three hundred nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2273 2490 4546 4980 6819 9092 11365 13638 22730 27276 34095 45460 68190 136380 188659 377318 565977 754636 943295 1131954 1886590 2263908 2829885 3773180 5659770 11319540