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5661936 = 2432741137
BaseRepresentation
bin10101100110010011110000
3101122122201100
4111212103300
52422140221
6321204400
766061050
oct25462360
911578640
105661936
113217995
121a90700
131233177
14a75560
1576c926
hex5664f0

5661936 has 120 divisors (see below), whose sum is σ = 18686304. Its totient is φ = 1566720.

The previous prime is 5661923. The next prime is 5661941. The reversal of 5661936 is 6391665.

5661936 is a `hidden beast` number, since 5 + 6 + 619 + 36 = 666.

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 5661936.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41260 + ... + 41396.

Almost surely, 25661936 is an apocalyptic number.

5661936 is a gapful number since it is divisible by the number (56) 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 5661936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343152).

5661936 is an abundant number, since it is smaller than the sum of its proper divisors (13024368).

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

5661936 is a wasteful number, since it uses less digits than its factorization.

5661936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 5661936 is about 2379.4822966351. The cubic root of 5661936 is about 178.2330826961.

The spelling of 5661936 in words is "five million, six hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 137 144 164 168 246 252 274 287 328 336 369 411 492 504 548 574 656 738 822 861 959 984 1008 1096 1148 1233 1476 1644 1722 1918 1968 2192 2296 2466 2583 2877 2952 3288 3444 3836 4592 4932 5166 5617 5754 5904 6576 6888 7672 8631 9864 10332 11234 11508 13776 15344 16851 17262 19728 20664 22468 23016 33702 34524 39319 41328 44936 46032 50553 67404 69048 78638 89872 101106 117957 134808 138096 157276 202212 235914 269616 314552 353871 404424 471828 629104 707742 808848 943656 1415484 1887312 2830968 5661936