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11364540 = 22351167257
BaseRepresentation
bin101011010110…
…100010111100
3210101101012220
4223112202330
510402131130
61043325340
7165411525
oct53264274
923341186
1011364540
116462390
123980850
13247b9a5
14171b84c
15ee7410
hexad68bc

11364540 has 96 divisors (see below), whose sum is σ = 35368704. Its totient is φ = 2703360.

The previous prime is 11364511. The next prime is 11364541. The reversal of 11364540 is 4546311.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11364540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364541) 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 31 ways as a sum of consecutive naturals, for example, 44092 + ... + 44348.

It is an arithmetic number, because the mean of its divisors is an integer number (368424).

Almost surely, 211364540 is an apocalyptic number.

11364540 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 11364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684352).

11364540 is an abundant number, since it is smaller than the sum of its proper divisors (24004164).

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

11364540 is a wasteful number, since it uses less digits than its factorization.

11364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 11364540 is about 3371.1333405844. The cubic root of 11364540 is about 224.8281156393.

The spelling of 11364540 in words is "eleven million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 67 110 132 134 165 201 220 257 268 330 335 402 514 660 670 737 771 804 1005 1028 1285 1340 1474 1542 2010 2211 2570 2827 2948 3084 3685 3855 4020 4422 5140 5654 7370 7710 8481 8844 11055 11308 14135 14740 15420 16962 17219 22110 28270 33924 34438 42405 44220 51657 56540 68876 84810 86095 103314 169620 172190 189409 206628 258285 344380 378818 516570 568227 757636 947045 1033140 1136454 1894090 2272908 2841135 3788180 5682270 11364540