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11318472 = 23321131461
BaseRepresentation
bin101011001011…
…010011001000
3210022001000200
4223023103020
510344142342
61042332200
7165130314
oct53132310
923261020
1011318472
116430810
12395a060
132463a29
141708b44
15ed894c
hexacb4c8

11318472 has 96 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3312000.

The previous prime is 11318467. The next prime is 11318479. The reversal of 11318472 is 27481311.

It is not an unprimeable number, because it can be changed into a prime (11318479) 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 23 ways as a sum of consecutive naturals, for example, 24322 + ... + 24782.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 211318472 is an apocalyptic number.

11318472 is a gapful number since it is divisible by the number (12) 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 11318472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

11318472 is an abundant number, since it is smaller than the sum of its proper divisors (23276088).

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

11318472 is a wasteful number, since it uses less digits than its factorization.

11318472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 11318472 is about 3364.2936851589. The cubic root of 11318472 is about 224.5239118516.

Adding to 11318472 its reverse (27481311), we get a palindrome (38799783).

The spelling of 11318472 in words is "eleven million, three hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 461 558 682 744 792 922 1023 1116 1364 1383 1844 2046 2232 2728 2766 3069 3688 4092 4149 5071 5532 6138 8184 8298 10142 11064 12276 14291 15213 16596 20284 24552 28582 30426 33192 40568 42873 45639 57164 60852 85746 91278 114328 121704 128619 157201 171492 182556 257238 314402 342984 365112 471603 514476 628804 943206 1028952 1257608 1414809 1886412 2829618 3772824 5659236 11318472