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11275320 = 2335731433
BaseRepresentation
bin101011000000…
…110000111000
3210012211211110
4223000300320
510341302240
61041400320
7164560440
oct53006070
923184743
1011275320
116401351
1239390a0
13244a1b4
1416d7120
15ecac80
hexac0c38

11275320 has 128 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2488320.

The previous prime is 11275309. The next prime is 11275367. The reversal of 11275320 is 2357211.

It is a super-2 number, since 2×112753202 = 254265682204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25824 + ... + 26256.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 211275320 is an apocalyptic number.

11275320 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 11275320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11275320 is an abundant number, since it is smaller than the sum of its proper divisors (28722120).

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

11275320 is a wasteful number, since it uses less digits than its factorization.

11275320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 11275320 is about 3357.8743276067. The cubic root of 11275320 is about 224.2382138425.

The spelling of 11275320 in words is "eleven million, two hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 433 434 465 620 651 744 840 866 868 930 1085 1240 1299 1302 1732 1736 1860 2165 2170 2598 2604 3031 3255 3464 3720 4330 4340 5196 5208 6062 6495 6510 8660 8680 9093 10392 12124 12990 13020 13423 15155 17320 18186 24248 25980 26040 26846 30310 36372 40269 45465 51960 53692 60620 67115 72744 80538 90930 93961 107384 121240 134230 161076 181860 187922 201345 268460 281883 322152 363720 375844 402690 469805 536920 563766 751688 805380 939610 1127532 1409415 1610760 1879220 2255064 2818830 3758440 5637660 11275320