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5581940 = 2257133067
BaseRepresentation
bin10101010010110001110100
3101111120222112
4111102301310
52412110230
6315350152
765305610
oct25226164
911446875
105581940
113172881
121a52358
131205930
14a54340
15753d95
hex552c74

5581940 has 48 divisors (see below), whose sum is σ = 14431872. Its totient is φ = 1766016.

The previous prime is 5581937. The next prime is 5581963. The reversal of 5581940 is 491855.

It is a junction number, because it is equal to n+sod(n) for n = 5581897 and 5581906.

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 15 ways as a sum of consecutive naturals, for example, 287 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (300664).

Almost surely, 25581940 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 5581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215936).

5581940 is an abundant number, since it is smaller than the sum of its proper divisors (8849932).

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

5581940 is a wasteful number, since it uses less digits than its factorization.

5581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 5581940 is about 2362.6129602624. The cubic root of 5581940 is about 177.3896954029.

The spelling of 5581940 in words is "five million, five hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 3067 6134 12268 15335 21469 30670 39871 42938 61340 79742 85876 107345 159484 199355 214690 279097 398710 429380 558194 797420 1116388 1395485 2790970 5581940