Search a number
-
+
2083020 = 2235149233
BaseRepresentation
bin111111100100011001100
310220211100220
413330203030
51013124040
6112351340
723463642
oct7744314
93824326
102083020
1111a3005
12845550
1357c174
143c3192
152b22d0
hex1fc8cc

2083020 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 549376.

The previous prime is 2083019. The next prime is 2083021. The reversal of 2083020 is 203802.

It is an interprime number because it is at equal distance from previous prime (2083019) and next prime (2083021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8824 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

22083020 is an apocalyptic number.

2083020 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 2083020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2083020 is an abundant number, since it is smaller than the sum of its proper divisors (3813780).

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

2083020 is a wasteful number, since it uses less digits than its factorization.

2083020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2083020 is about 1443.2671270420. The cubic root of 2083020 is about 127.7118354702.

Adding to 2083020 its reverse (203802), we get a palindrome (2286822).

The spelling of 2083020 in words is "two million, eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 233 298 447 466 596 699 745 894 932 1165 1398 1490 1788 2235 2330 2796 2980 3495 4470 4660 6990 8940 13980 34717 69434 104151 138868 173585 208302 347170 416604 520755 694340 1041510 2083020