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2023420 = 225797149
BaseRepresentation
bin111101101111111111100
310210210121111
413231333330
51004222140
6111211404
723125120
oct7557774
93723544
102023420
111162253
12816b64
1355acb9
143a9580
1529e7ea
hex1edffc

2023420 has 48 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 681984.

The previous prime is 2023393. The next prime is 2023421. The reversal of 2023420 is 243202.

It is a self number, because there is not a number n which added to its sum of digits gives 2023420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13506 + ... + 13654.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

22023420 is an apocalyptic number.

2023420 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 2023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

2023420 is an abundant number, since it is smaller than the sum of its proper divisors (2915780).

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

2023420 is a wasteful number, since it uses less digits than its factorization.

2023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2023420 is about 1422.4696833325. The cubic root of 2023420 is about 126.4819869470.

Adding to 2023420 its reverse (243202), we get a palindrome (2266622).

The spelling of 2023420 in words is "two million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 149 194 298 388 485 596 679 745 970 1043 1358 1490 1940 2086 2716 2980 3395 4172 5215 6790 10430 13580 14453 20860 28906 57812 72265 101171 144530 202342 289060 404684 505855 1011710 2023420