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5681536 = 27717373
BaseRepresentation
bin10101101011000110000000
3101200122121021
4111223012000
52423302121
6321435224
766202150
oct25530600
911618537
105681536
113230693
121a9bb14
13123c073
14a7c760
15773641
hex56b180

5681536 has 64 divisors (see below), whose sum is σ = 13733280. Its totient is φ = 2285568.

The previous prime is 5681531. The next prime is 5681561. The reversal of 5681536 is 6351865.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5681531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15046 + ... + 15418.

Almost surely, 25681536 is an apocalyptic number.

5681536 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 5681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866640).

5681536 is an abundant number, since it is smaller than the sum of its proper divisors (8051744).

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

5681536 is a wasteful number, since it uses less digits than its factorization.

5681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 5681536 is about 2383.5972814215. The cubic root of 5681536 is about 178.4385097880.

The spelling of 5681536 in words is "five million, six hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 373 448 476 544 746 896 952 1088 1492 1904 2176 2611 2984 3808 5222 5968 6341 7616 10444 11936 12682 15232 20888 23872 25364 41776 44387 47744 50728 83552 88774 101456 167104 177548 202912 334208 355096 405824 710192 811648 1420384 2840768 5681536