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11986164 = 2233294389
BaseRepresentation
bin101101101110…
…010011110100
3211112221221000
4231232103310
511032024124
61104523300
7203611041
oct55562364
924487830
1011986164
116847423
124020530
132638908
1418401c8
1510bb6c9
hexb6e4f4

11986164 has 96 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 3725568.

The previous prime is 11986159. The next prime is 11986171. The reversal of 11986164 is 46168911.

It is a happy number.

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

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, 134632 + ... + 134720.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 211986164 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 11986164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

11986164 is an abundant number, since it is smaller than the sum of its proper divisors (21277836).

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

11986164 is a wasteful number, since it uses less digits than its factorization.

11986164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11986164 is about 3462.1039845735. The cubic root of 11986164 is about 228.8548243032.

The spelling of 11986164 in words is "eleven million, nine hundred eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 43 54 58 86 87 89 108 116 129 172 174 178 258 261 267 348 356 387 516 522 534 774 783 801 1044 1068 1161 1247 1548 1566 1602 2322 2403 2494 2581 3132 3204 3741 3827 4644 4806 4988 5162 7482 7654 7743 9612 10324 11223 11481 14964 15308 15486 22446 22962 23229 30972 33669 34443 44892 45924 46458 67338 68886 69687 92916 103329 110983 134676 137772 139374 206658 221966 278748 332949 413316 443932 665898 998847 1331796 1997694 2996541 3995388 5993082 11986164