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11313984 = 263112487
BaseRepresentation
bin101011001010…
…001101000000
3210021210212110
4223022031000
510344021414
61042255320
7165111243
oct53121500
923253773
1011313984
116428400
123957540
132461986
14170725a
15ed7459
hexaca340

11313984 has 84 divisors (see below), whose sum is σ = 32971232. Its totient is φ = 3421440.

The previous prime is 11313961. The next prime is 11313989. The reversal of 11313984 is 48931311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22989 + ... + 23475.

Almost surely, 211313984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485616).

11313984 is an abundant number, since it is smaller than the sum of its proper divisors (21657248).

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

11313984 is a wasteful number, since it uses less digits than its factorization.

11313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 11313984 is about 3363.6266142365. The cubic root of 11313984 is about 224.4942318579.

It can be divided in two parts, 1131 and 3984, that added together give a palindrome (5115).

The spelling of 11313984 in words is "eleven million, three hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 487 528 704 726 968 974 1056 1452 1461 1936 1948 2112 2904 2922 3872 3896 5357 5808 5844 7744 7792 10714 11616 11688 15584 16071 21428 23232 23376 31168 32142 42856 46752 58927 64284 85712 93504 117854 128568 171424 176781 235708 257136 342848 353562 471416 514272 707124 942832 1028544 1414248 1885664 2828496 3771328 5656992 11313984