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11302080 = 263561193
BaseRepresentation
bin101011000111…
…010011000000
3210021012112120
4223013103000
510343131310
61042124240
7165031446
oct53072300
923235476
1011302080
11641a469
123950680
13245942a
141702b96
15ed3b70
hexac74c0

11302080 has 112 divisors (see below), whose sum is σ = 36661344. Its totient is φ = 2949120.

The previous prime is 11302063. The next prime is 11302121. The reversal of 11302080 is 8020311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58464 + ... + 58656.

Almost surely, 211302080 is an apocalyptic number.

11302080 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 11302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330672).

11302080 is an abundant number, since it is smaller than the sum of its proper divisors (25359264).

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

11302080 is a wasteful number, since it uses less digits than its factorization.

11302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11302080 is about 3361.8566298996. The cubic root of 11302080 is about 224.4154704145.

Adding to 11302080 its reverse (8020311), we get a palindrome (19322391).

The spelling of 11302080 in words is "eleven million, three hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 193 240 244 305 320 366 386 480 488 579 610 732 772 915 960 965 976 1158 1220 1464 1544 1830 1930 1952 2316 2440 2895 2928 3088 3660 3860 3904 4632 4880 5790 5856 6176 7320 7720 9264 9760 11580 11712 11773 12352 14640 15440 18528 19520 23160 23546 29280 30880 35319 37056 46320 47092 58560 58865 61760 70638 92640 94184 117730 141276 176595 185280 188368 235460 282552 353190 376736 470920 565104 706380 753472 941840 1130208 1412760 1883680 2260416 2825520 3767360 5651040 11302080