Search a number
-
+
11669616 = 2433717227
BaseRepresentation
bin101100100001…
…000001110000
3210221212201000
4230201001300
510441411431
61054042000
7201122130
oct54410160
923855630
1011669616
116650612
123aa9300
1325577ca
14179aac0
1510579e6
hexb21070

11669616 has 160 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3124224.

The previous prime is 11669587. The next prime is 11669639. The reversal of 11669616 is 61696611.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51295 + ... + 51521.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 211669616 is an apocalyptic number.

11669616 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 11669616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

11669616 is an abundant number, since it is smaller than the sum of its proper divisors (29042064).

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

11669616 is a wasteful number, since it uses less digits than its factorization.

11669616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

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

The square root of 11669616 is about 3416.0819662297. The cubic root of 11669616 is about 226.8221808602.

The spelling of 11669616 in words is "eleven million, six hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 227 238 252 272 306 336 357 378 408 432 454 459 476 504 612 681 714 756 816 908 918 952 1008 1071 1224 1362 1428 1512 1589 1816 1836 1904 2043 2142 2448 2724 2856 3024 3178 3213 3632 3672 3859 4086 4284 4767 5448 5712 6129 6356 6426 7344 7718 8172 8568 9534 10896 11577 12258 12712 12852 14301 15436 16344 17136 19068 23154 24516 25424 25704 27013 28602 30872 32688 34731 38136 42903 46308 49032 51408 54026 57204 61744 69462 76272 81039 85806 92616 98064 104193 108052 114408 138924 162078 171612 185232 208386 216104 228816 243117 277848 324156 343224 416772 432208 486234 555696 648312 686448 729351 833544 972468 1296624 1458702 1667088 1944936 2917404 3889872 5834808 11669616