Search a number
-
+
5331900 = 2235272539
BaseRepresentation
bin10100010101101110111100
3101000212222210
4110111232330
52331110100
6310140420
763214620
oct24255674
911025883
105331900
113011a32
121951710
131148b92
149cb180
15704c50
hex515bbc

5331900 has 72 divisors (see below), whose sum is σ = 17637760. Its totient is φ = 1218240.

The previous prime is 5331899. The next prime is 5331919. The reversal of 5331900 is 91335.

It is a super-2 number, since 2×53319002 = 56858315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 831 + ... + 3369.

Almost surely, 25331900 is an apocalyptic number.

5331900 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 5331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818880).

5331900 is an abundant number, since it is smaller than the sum of its proper divisors (12305860).

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

5331900 is a wasteful number, since it uses less digits than its factorization.

5331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 5331900 is about 2309.0907301360. The cubic root of 5331900 is about 174.7004398949.

The spelling of 5331900 in words is "five million, three hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2539 5078 7617 10156 12695 15234 17773 25390 30468 35546 38085 50780 53319 63475 71092 76170 88865 106638 126950 152340 177730 190425 213276 253900 266595 355460 380850 444325 533190 761700 888650 1066380 1332975 1777300 2665950 5331900