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11869536 = 2537171039
BaseRepresentation
bin101101010001…
…110101100000
3211100000221110
4231101311200
511014311121
61102223320
7202614030
oct55216540
924300843
1011869536
116777838
123b84b40
1325c77c3
14180d8c0
151096d76
hexb51d60

11869536 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3188736.

The previous prime is 11869531. The next prime is 11869537. The reversal of 11869536 is 63596811.

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

It is a junction number, because it is equal to n+sod(n) for n = 11869494 and 11869503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11869531) 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, 10905 + ... + 11943.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 211869536 is an apocalyptic number.

11869536 is a gapful number since it is divisible by the number (16) 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 11869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11869536 is an abundant number, since it is smaller than the sum of its proper divisors (25869984).

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

11869536 is a wasteful number, since it uses less digits than its factorization.

11869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 11869536 is about 3445.2192963584. The cubic root of 11869536 is about 228.1101345414.

The spelling of 11869536 in words is "eleven million, eight hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1039 1428 1632 1904 2078 2856 3117 3808 4156 5712 6234 7273 8312 11424 12468 14546 16624 17663 21819 24936 29092 33248 35326 43638 49872 52989 58184 70652 87276 99744 105978 116368 123641 141304 174552 211956 232736 247282 282608 349104 370923 423912 494564 565216 698208 741846 847824 989128 1483692 1695648 1978256 2967384 3956512 5934768 11869536