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5402100 = 22352111637
BaseRepresentation
bin10100100110110111110100
3101011110021210
4110212313310
52340331400
6311441420
763626364
oct24466764
911143253
105402100
11305a750
121986270
131171b12
14a089a4
1571a950
hex526df4

5402100 has 72 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1308800.

The previous prime is 5402093. The next prime is 5402113. The reversal of 5402100 is 12045.

It is a super-3 number, since 3×54021003 (a number of 21 digits) contains 333 as substring.

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

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, 2482 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 25402100 is an apocalyptic number.

5402100 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 5402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5402100 is an abundant number, since it is smaller than the sum of its proper divisors (11659308).

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

5402100 is a wasteful number, since it uses less digits than its factorization.

5402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5402100 is about 2324.2418118604. The cubic root of 5402100 is about 175.4638037055.

Adding to 5402100 its reverse (12045), we get a palindrome (5414145).

The spelling of 5402100 in words is "five million, four hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1637 1650 3274 3300 4911 6548 8185 9822 16370 18007 19644 24555 32740 36014 40925 49110 54021 72028 81850 90035 98220 108042 122775 163700 180070 216084 245550 270105 360140 450175 491100 540210 900350 1080420 1350525 1800700 2701050 5402100