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11325440 = 2125779
BaseRepresentation
bin101011001101…
…000000000000
3210022101120202
4223031000000
510344403230
61042424332
7165156530
oct53150000
923271522
1011325440
116435a75
1239620a8
132466c59
14170b4c0
15edaa45
hexacd000

11325440 has 104 divisors (see below), whose sum is σ = 31453440. Its totient is φ = 3833856.

The previous prime is 11325437. The next prime is 11325473. The reversal of 11325440 is 4452311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143321 + ... + 143399.

Almost surely, 211325440 is an apocalyptic number.

11325440 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 11325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15726720).

11325440 is an abundant number, since it is smaller than the sum of its proper divisors (20128000).

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

11325440 is an frugal number, since it uses more digits than its factorization.

11325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 11325440 is about 3365.3291072345. The cubic root of 11325440 is about 224.5699770119.

Adding to 11325440 its reverse (4452311), we get a palindrome (15777751).

The spelling of 11325440 in words is "eleven million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 128 140 158 160 224 256 280 316 320 395 448 512 553 560 632 640 790 896 1024 1106 1120 1264 1280 1580 1792 2048 2212 2240 2528 2560 2765 3160 3584 4096 4424 4480 5056 5120 5530 6320 7168 8848 8960 10112 10240 11060 12640 14336 17696 17920 20224 20480 22120 25280 28672 35392 35840 40448 44240 50560 70784 71680 80896 88480 101120 141568 143360 161792 176960 202240 283136 323584 353920 404480 566272 707840 808960 1132544 1415680 1617920 2265088 2831360 5662720 11325440