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11322920 = 2357253109
BaseRepresentation
bin101011001100…
…011000101000
3210022021010102
4223030120220
510344313140
61042404532
7165146300
oct53143050
923267112
1011322920
116434094
123960748
132465a6b
14170a600
15ed9e15
hexacc628

11322920 has 96 divisors (see below), whose sum is σ = 30472200. Its totient is φ = 3773952.

The previous prime is 11322869. The next prime is 11322931. The reversal of 11322920 is 2922311.

It can be written as a sum of positive squares in 4 ways, for example, as 10640644 + 682276 = 3262^2 + 826^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11322892 and 11322901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103826 + ... + 103934.

Almost surely, 211322920 is an apocalyptic number.

11322920 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 11322920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236100).

11322920 is an abundant number, since it is smaller than the sum of its proper divisors (19149280).

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

11322920 is a wasteful number, since it uses less digits than its factorization.

11322920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 11322920 is about 3364.9546802297. The cubic root of 11322920 is about 224.5533195775.

The spelling of 11322920 in words is "eleven million, three hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 53 56 70 98 106 109 140 196 212 218 245 265 280 371 392 424 436 490 530 545 742 763 872 980 1060 1090 1484 1526 1855 1960 2120 2180 2597 2968 3052 3710 3815 4360 5194 5341 5777 6104 7420 7630 10388 10682 11554 12985 14840 15260 20776 21364 23108 25970 26705 28885 30520 40439 42728 46216 51940 53410 57770 80878 103880 106820 115540 161756 202195 213640 231080 283073 323512 404390 566146 808780 1132292 1415365 1617560 2264584 2830730 5661460 11322920