[go: up one dir, main page]

Search a number
-
+
5042100 = 2235275
BaseRepresentation
bin10011001110111110110100
3100111011110110
4103032332310
52242321400
6300023020
760600000
oct23167664
910434413
105042100
112934228
121831a70
131076cbb
14953700
15698e50
hex4cefb4

5042100 has 108 divisors (see below), whose sum is σ = 17019744. Its totient is φ = 1152480.

The previous prime is 5042099. The next prime is 5042111. The reversal of 5042100 is 12405.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 720297 + ... + 720303.

Almost surely, 25042100 is an apocalyptic number.

5042100 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 5042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509872).

5042100 is an abundant number, since it is smaller than the sum of its proper divisors (11977644).

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

5042100 is an equidigital number, since it uses as much as digits as its factorization.

5042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

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

The square root of 5042100 is about 2245.4620905284. The cubic root of 5042100 is about 171.4761871699.

Adding to 5042100 its reverse (12405), we get a palindrome (5054505).

The spelling of 5042100 in words is "five million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2401 2450 2940 3430 3675 4116 4802 4900 5145 6860 7203 7350 8575 9604 10290 12005 14406 14700 16807 17150 20580 24010 25725 28812 33614 34300 36015 48020 50421 51450 60025 67228 72030 84035 100842 102900 120050 144060 168070 180075 201684 240100 252105 336140 360150 420175 504210 720300 840350 1008420 1260525 1680700 2521050 5042100