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11421312 = 27372607
BaseRepresentation
bin101011100100…
…011010000000
3210111021002120
4223210122000
510410440222
61044444240
7166036200
oct53443200
923437076
1011421312
1164a1001
1239a9680
13249b796
141734400
15100915c
hexae4680

11421312 has 96 divisors (see below), whose sum is σ = 35349120. Its totient is φ = 3257856.

The previous prime is 11421269. The next prime is 11421323. The reversal of 11421312 is 21312411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11421291 and 11421300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18513 + ... + 19119.

It is an arithmetic number, because the mean of its divisors is an integer number (368220).

Almost surely, 211421312 is an apocalyptic number.

11421312 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 11421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17674560).

11421312 is an abundant number, since it is smaller than the sum of its proper divisors (23927808).

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

11421312 is an equidigital number, since it uses as much as digits as its factorization.

11421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 11421312 is about 3379.5431643937. The cubic root of 11421312 is about 225.2018731434.

Adding to 11421312 its reverse (21312411), we get a palindrome (32733723).

The spelling of 11421312 in words is "eleven million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 607 672 784 896 1176 1214 1344 1568 1821 2352 2428 2688 3136 3642 4249 4704 4856 6272 7284 8498 9408 9712 12747 14568 16996 18816 19424 25494 29136 29743 33992 38848 50988 58272 59486 67984 77696 89229 101976 116544 118972 135968 178458 203952 233088 237944 271936 356916 407904 475888 543872 713832 815808 951776 1427664 1631616 1903552 2855328 3807104 5710656 11421312