Search a number
-
+
5541696 = 26341069
BaseRepresentation
bin10101001000111101000000
3101102112210000
4111020331000
52404313241
6314440000
765050356
oct25107500
911375700
105541696
113145616
121a33000
1311c0514
14a437d6
15746eb6
hex548f40

5541696 has 70 divisors (see below), whose sum is σ = 16442690. Its totient is φ = 1845504.

The previous prime is 5541671. The next prime is 5541713. The reversal of 5541696 is 6961455.

5541696 is a `hidden beast` number, since 554 + 16 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 876096 = 2160^2 + 936^2 .

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 5541696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4650 + ... + 5718.

Almost surely, 25541696 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 5541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221345).

5541696 is an abundant number, since it is smaller than the sum of its proper divisors (10900994).

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

5541696 is a wasteful number, since it uses less digits than its factorization.

5541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1074 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5541696 is about 2354.0807122951. The cubic root of 5541696 is about 176.9623591317.

The spelling of 5541696 in words is "five million, five hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1069 1296 1728 2138 2592 3207 4276 5184 6414 8552 9621 12828 17104 19242 25656 28863 34208 38484 51312 57726 68416 76968 86589 102624 115452 153936 173178 205248 230904 307872 346356 461808 615744 692712 923616 1385424 1847232 2770848 5541696