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11604996 = 223213137181
BaseRepresentation
bin101100010001…
…010000000100
3210211121001200
4230101100010
510432324441
61052422500
7200432544
oct54212004
923747050
1011604996
116607007
123a77a30
132534280
141781324
1510437b6
hexb11404

11604996 has 72 divisors (see below), whose sum is σ = 31997784. Its totient is φ = 3525120.

The previous prime is 11604961. The next prime is 11605007. The reversal of 11604996 is 69940611.

11604996 is a `hidden beast` number, since 1 + 160 + 499 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 11492100 = 336^2 + 3390^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11604996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64026 + ... + 64206.

Almost surely, 211604996 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 11604996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998892).

11604996 is an abundant number, since it is smaller than the sum of its proper divisors (20392788).

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

11604996 is a wasteful number, since it uses less digits than its factorization.

11604996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 11604996 is about 3406.6106322854. The cubic root of 11604996 is about 226.4027329682.

The spelling of 11604996 in words is "eleven million, six hundred four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 181 234 274 362 411 468 543 548 724 822 1086 1233 1629 1644 1781 2172 2353 2466 3258 3562 4706 4932 5343 6516 7059 7124 9412 10686 14118 16029 21177 21372 24797 28236 32058 42354 49594 64116 74391 84708 99188 148782 223173 297564 322361 446346 644722 892692 967083 1289444 1934166 2901249 3868332 5802498 11604996