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11528280 = 23325311033
BaseRepresentation
bin101011111110…
…100001011000
3210200200211100
4223332201120
510422401110
61051031400
7166663101
oct53764130
923620740
1011528280
116564405
123a3b560
13250838a
1417613a8
15102abc0
hexafe858

11528280 has 96 divisors (see below), whose sum is σ = 38712960. Its totient is φ = 2972160.

The previous prime is 11528273. The next prime is 11528281. The reversal of 11528280 is 8282511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11528281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10644 + ... + 11676.

It is an arithmetic number, because the mean of its divisors is an integer number (403260).

Almost surely, 211528280 is an apocalyptic number.

11528280 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 11528280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19356480).

11528280 is an abundant number, since it is smaller than the sum of its proper divisors (27184680).

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

11528280 is a wasteful number, since it uses less digits than its factorization.

11528280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11528280 is about 3395.3320897962. The cubic root of 11528280 is about 225.9027435445.

The spelling of 11528280 in words is "eleven million, five hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1033 1116 1240 1395 1860 2066 2232 2790 3099 3720 4132 5165 5580 6198 8264 9297 10330 11160 12396 15495 18594 20660 24792 30990 32023 37188 41320 46485 61980 64046 74376 92970 96069 123960 128092 160115 185940 192138 256184 288207 320230 371880 384276 480345 576414 640460 768552 960690 1152828 1280920 1441035 1921380 2305656 2882070 3842760 5764140 11528280