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2984420 = 225372109
BaseRepresentation
bin1011011000100111100100
312121121212002
423120213210
51231000140
6143544432
734236635
oct13304744
95547762
102984420
11175926a
12bbb118
1380653a
1457988c
153de415
hex2d89e4

2984420 has 36 divisors (see below), whose sum is σ = 6500340. Its totient is φ = 1150848.

The previous prime is 2984417. The next prime is 2984441. The reversal of 2984420 is 244892.

2984420 = T79 + T80 + ... + T263.

2984420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 649636 + 2334784 = 806^2 + 1528^2 .

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 11 ways as a sum of consecutive naturals, for example, 27326 + ... + 27434.

It is an arithmetic number, because the mean of its divisors is an integer number (180565).

22984420 is an apocalyptic number.

2984420 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 2984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250170).

2984420 is an abundant number, since it is smaller than the sum of its proper divisors (3515920).

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

2984420 is a wasteful number, since it uses less digits than its factorization.

2984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2984420 is about 1727.5473944295. The cubic root of 2984420 is about 143.9748541483.

The spelling of 2984420 in words is "two million, nine hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 370 436 545 740 1090 1369 2180 2738 4033 5476 6845 8066 13690 16132 20165 27380 40330 80660 149221 298442 596884 746105 1492210 2984420