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2413020 = 2235131307
BaseRepresentation
bin1001001101000111011100
311112121001010
421031013130
51104204040
6123415220
726340021
oct11150734
94477033
102413020
1113a8a35
12984510
1366642c
1446b548
15329e80
hex24d1dc

2413020 has 48 divisors (see below), whose sum is σ = 6830208. Its totient is φ = 636480.

The previous prime is 2413007. The next prime is 2413043. The reversal of 2413020 is 203142.

2413020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2412987 and 2413005.

It is a congruent number.

It is an unprimeable number.

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, 7707 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (142296).

22413020 is an apocalyptic number.

2413020 is a gapful number since it is divisible by the number (20) 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 2413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415104).

2413020 is an abundant number, since it is smaller than the sum of its proper divisors (4417188).

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

2413020 is a wasteful number, since it uses less digits than its factorization.

2413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2413020 is about 1553.3898416045. The cubic root of 2413020 is about 134.1282650964.

Adding to 2413020 its reverse (203142), we get a palindrome (2616162).

The spelling of 2413020 in words is "two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 307 393 524 614 655 786 921 1228 1310 1535 1572 1842 1965 2620 3070 3684 3930 4605 6140 7860 9210 18420 40217 80434 120651 160868 201085 241302 402170 482604 603255 804340 1206510 2413020