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5690100 = 22352131459
BaseRepresentation
bin10101101101001011110100
3101201002100110
4111231023310
52424040400
6321543020
766236133
oct25551364
911632313
105690100
113237069
121aa4a70
131242c30
14a8191a
15775e50
hex56d2f4

5690100 has 72 divisors (see below), whose sum is σ = 17741920. Its totient is φ = 1399680.

The previous prime is 5690099. The next prime is 5690129. The reversal of 5690100 is 10965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171 + ... + 4629.

Almost surely, 25690100 is an apocalyptic number.

5690100 is a gapful number since it is divisible by the number (50) 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 5690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870960).

5690100 is an abundant number, since it is smaller than the sum of its proper divisors (12051820).

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

5690100 is a wasteful number, since it uses less digits than its factorization.

5690100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 5690100 is about 2385.3930493736. The cubic root of 5690100 is about 178.5281205452.

The spelling of 5690100 in words is "five million, six hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1459 1950 2918 3900 4377 5836 7295 8754 14590 17508 18967 21885 29180 36475 37934 43770 56901 72950 75868 87540 94835 109425 113802 145900 189670 218850 227604 284505 379340 437700 474175 569010 948350 1138020 1422525 1896700 2845050 5690100