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11260704 = 2537131289
BaseRepresentation
bin101010111101…
…001100100000
3210012002210010
4222331030200
510340320304
61041204520
7164500020
oct52751440
923162703
1011260704
1163a1374
123930740
132443650
1416d1a80
15ec6789
hexabd320

11260704 has 96 divisors (see below), whose sum is σ = 36408960. Its totient is φ = 2967552.

The previous prime is 11260703. The next prime is 11260721. The reversal of 11260704 is 40706211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (11260703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (379260).

Almost surely, 211260704 is an apocalyptic number.

11260704 is a gapful number since it is divisible by the number (14) 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 11260704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204480).

11260704 is an abundant number, since it is smaller than the sum of its proper divisors (25148256).

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

11260704 is a wasteful number, since it uses less digits than its factorization.

11260704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11260704 is about 3355.6972449850. The cubic root of 11260704 is about 224.1412799217.

Adding to 11260704 its reverse (40706211), we get a palindrome (51966915).

The spelling of 11260704 in words is "eleven million, two hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1289 1456 2184 2578 2912 3867 4368 5156 7734 8736 9023 10312 15468 16757 18046 20624 27069 30936 33514 36092 41248 50271 54138 61872 67028 72184 100542 108276 117299 123744 134056 144368 201084 216552 234598 268112 288736 351897 402168 433104 469196 536224 703794 804336 866208 938392 1407588 1608672 1876784 2815176 3753568 5630352 11260704