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11321120 = 255173409
BaseRepresentation
bin101011001011…
…111100100000
3210022011122202
4223023330200
510344233440
61042352332
7165141116
oct53137440
923264582
1011321120
1164327a8
12395b6a8
132464cb5
141709ab6
15ed9615
hexacbf20

11321120 has 48 divisors (see below), whose sum is σ = 26966520. Its totient is φ = 4491264.

The previous prime is 11321119. The next prime is 11321137. The reversal of 11321120 is 2112311.

11321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11316496 + 4624 = 3364^2 + 68^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27476 + ... + 27884.

Almost surely, 211321120 is an apocalyptic number.

11321120 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 11321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483260).

11321120 is an abundant number, since it is smaller than the sum of its proper divisors (15645400).

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

11321120 is a wasteful number, since it uses less digits than its factorization.

11321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11321120 is about 3364.6872068589. The cubic root of 11321120 is about 224.5414198968.

Adding to 11321120 its reverse (2112311), we get a palindrome (13433431).

The spelling of 11321120 in words is "eleven million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 173 346 409 692 818 865 1384 1636 1730 2045 2768 3272 3460 4090 5536 6544 6920 8180 13088 13840 16360 27680 32720 65440 70757 141514 283028 353785 566056 707570 1132112 1415140 2264224 2830280 5660560 11321120