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20892420 = 22325373137
BaseRepresentation
bin100111110110…
…0101100000100
31110022110000100
41033230230010
520322024140
62023444100
7342403563
oct117545404
943273010
1020892420
111087a86a
126bb6630
1344366a3
142abbbda
151c7a530
hex13ecb04

20892420 has 72 divisors (see below), whose sum is σ = 65107224. Its totient is φ = 5419008.

The previous prime is 20892407. The next prime is 20892427. The reversal of 20892420 is 2429802.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 7584516 = 3648^2 + 2754^2 .

It is not an unprimeable number, because it can be changed into a prime (20892427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5092 + ... + 8228.

It is an arithmetic number, because the mean of its divisors is an integer number (904267).

Almost surely, 220892420 is an apocalyptic number.

20892420 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 20892420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32553612).

20892420 is an abundant number, since it is smaller than the sum of its proper divisors (44214804).

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

20892420 is a wasteful number, since it uses less digits than its factorization.

20892420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20892420 is about 4570.8226830626. The cubic root of 20892420 is about 275.4204917012.

It can be divided in two parts, 20892 and 420, that added together give a palindrome (21312).

The spelling of 20892420 in words is "twenty million, eight hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3137 3330 6274 6660 9411 12548 15685 18822 28233 31370 37644 47055 56466 62740 94110 112932 116069 141165 188220 232138 282330 348207 464276 564660 580345 696414 1044621 1160690 1392828 1741035 2089242 2321380 3482070 4178484 5223105 6964140 10446210 20892420