Search a number
-
+
3100420 = 2251941199
BaseRepresentation
bin1011110100111100000100
312211111222101
423310330010
51243203140
6150241444
735232061
oct13647404
95744871
103100420
111828434
121056284
1384728b
145a9c68
1541399a
hex2f4f04

3100420 has 48 divisors (see below), whose sum is σ = 7056000. Its totient is φ = 1140480.

The previous prime is 3100373. The next prime is 3100421. The reversal of 3100420 is 240013.

3100420 = T19 + T20 + ... + T264.

3100420 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31004202 = 19225208352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3100397 and 3100406.

It is not an unprimeable number, because it can be changed into a prime (3100421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15481 + ... + 15679.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 23100420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528000).

3100420 is an abundant number, since it is smaller than the sum of its proper divisors (3955580).

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

3100420 is a wasteful number, since it uses less digits than its factorization.

3100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3100420 is about 1760.8009541115. The cubic root of 3100420 is about 145.8165582519.

Adding to 3100420 its reverse (240013), we get a palindrome (3340433).

The spelling of 3100420 in words is "three million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 199 205 380 398 410 779 796 820 995 1558 1990 3116 3781 3895 3980 7562 7790 8159 15124 15580 16318 18905 32636 37810 40795 75620 81590 155021 163180 310042 620084 775105 1550210 3100420