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11480742 = 23271343163
BaseRepresentation
bin101011110010…
…111010100110
3210121021121200
4223302322212
510414340432
61050023330
7166404360
oct53627246
923537550
1011480742
116531719
123a17b46
1324bc850
14174bd30
15101ba7c
hexaf2ea6

11480742 has 96 divisors (see below), whose sum is σ = 31519488. Its totient is φ = 2939328.

The previous prime is 11480741. The next prime is 11480743. The reversal of 11480742 is 24708411.

It is an interprime number because it is at equal distance from previous prime (11480741) and next prime (11480743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11480741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70353 + ... + 70515.

It is an arithmetic number, because the mean of its divisors is an integer number (328328).

Almost surely, 211480742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11480742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759744).

11480742 is an abundant number, since it is smaller than the sum of its proper divisors (20038746).

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

11480742 is a wasteful number, since it uses less digits than its factorization.

11480742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11480742 is about 3388.3243646381. The cubic root of 11480742 is about 225.5918050064.

The spelling of 11480742 in words is "eleven million, four hundred eighty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 163 182 234 258 273 301 326 387 489 546 559 602 774 819 903 978 1118 1141 1467 1638 1677 1806 2119 2282 2709 2934 3354 3423 3913 4238 5031 5418 6357 6846 7009 7826 10062 10269 11739 12714 14018 14833 19071 20538 21027 23478 29666 35217 38142 42054 44499 49063 63081 70434 88998 91117 98126 126162 133497 147189 182234 266994 273351 294378 441567 546702 637819 820053 883134 1275638 1640106 1913457 3826914 5740371 11480742