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11303320 = 235727379
BaseRepresentation
bin101011000111…
…100110011000
3210021021020111
4223013212120
510343201240
61042134104
7165035200
oct53074630
923237214
1011303320
116420396
123951334
132459b72
141703400
15ed41ea
hexac7998

11303320 has 96 divisors (see below), whose sum is σ = 30369600. Its totient is φ = 3773952.

The previous prime is 11303293. The next prime is 11303321. The reversal of 11303320 is 2330311.

11303320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11303320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143041 + ... + 143119.

It is an arithmetic number, because the mean of its divisors is an integer number (316350).

Almost surely, 211303320 is an apocalyptic number.

11303320 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 11303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184800).

11303320 is an abundant number, since it is smaller than the sum of its proper divisors (19066280).

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

11303320 is a wasteful number, since it uses less digits than its factorization.

11303320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 11303320 is about 3362.0410467453. The cubic root of 11303320 is about 224.4236773112.

Adding to 11303320 its reverse (2330311), we get a palindrome (13633631).

The spelling of 11303320 in words is "eleven million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 79 98 140 146 158 196 245 280 292 316 365 392 395 490 511 553 584 632 730 790 980 1022 1106 1460 1580 1960 2044 2212 2555 2765 2920 3160 3577 3871 4088 4424 5110 5530 5767 7154 7742 10220 11060 11534 14308 15484 17885 19355 20440 22120 23068 28616 28835 30968 35770 38710 40369 46136 57670 71540 77420 80738 115340 143080 154840 161476 201845 230680 282583 322952 403690 565166 807380 1130332 1412915 1614760 2260664 2825830 5651660 11303320