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5330100 = 22352109163
BaseRepresentation
bin10100010101010010110100
3101000210112010
4110111102310
52331030400
6310124220
763206436
oct24252264
911023463
105330100
113010646
121950670
131148109
149ca656
15704450
hex5154b4

5330100 has 72 divisors (see below), whose sum is σ = 15658720. Its totient is φ = 1399680.

The previous prime is 5330069. The next prime is 5330107. The reversal of 5330100 is 10335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32619 + ... + 32781.

Almost surely, 25330100 is an apocalyptic number.

5330100 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 5330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7829360).

5330100 is an abundant number, since it is smaller than the sum of its proper divisors (10328620).

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

5330100 is a wasteful number, since it uses less digits than its factorization.

5330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 5330100 is about 2308.7009334255. The cubic root of 5330100 is about 174.6807785994.

Adding to 5330100 its reverse (10335), we get a palindrome (5340435).

The spelling of 5330100 in words is "five million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 163 218 300 326 327 436 489 545 652 654 815 978 1090 1308 1630 1635 1956 2180 2445 2725 3260 3270 4075 4890 5450 6540 8150 8175 9780 10900 12225 16300 16350 17767 24450 32700 35534 48900 53301 71068 88835 106602 177670 213204 266505 355340 444175 533010 888350 1066020 1332525 1776700 2665050 5330100