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11297580 = 2235737727
BaseRepresentation
bin101011000110…
…001100101100
3210020222100220
4223012030230
510343010310
61042051340
7165012360
oct53061454
923228326
1011297580
116417048
123949b50
132457378
1417012a0
15ed2670
hexac632c

11297580 has 96 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 2509056.

The previous prime is 11297579. The next prime is 11297593. The reversal of 11297580 is 8579211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15177 + ... + 15903.

It is an arithmetic number, because the mean of its divisors is an integer number (387296).

Almost surely, 211297580 is an apocalyptic number.

11297580 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 11297580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

11297580 is an abundant number, since it is smaller than the sum of its proper divisors (25882836).

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

11297580 is a wasteful number, since it uses less digits than its factorization.

11297580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11297580 is about 3361.1872902295. The cubic root of 11297580 is about 224.3856822789.

The spelling of 11297580 in words is "eleven million, two hundred ninety-seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 727 740 777 1036 1110 1295 1454 1554 2181 2220 2590 2908 3108 3635 3885 4362 5089 5180 7270 7770 8724 10178 10905 14540 15267 15540 20356 21810 25445 26899 30534 43620 50890 53798 61068 76335 80697 101780 107596 134495 152670 161394 188293 268990 305340 322788 376586 403485 537980 564879 753172 806970 941465 1129758 1613940 1882930 2259516 2824395 3765860 5648790 11297580