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2002026420 = 2232517654257
BaseRepresentation
bin111011101010100…
…0111111110110100
312011112011110221200
41313111013332310
513100004321140
6530354212500
7100416641502
oct16725077664
95145143850
102002026420
11938101099
1247a584130
1325ba06824
1414dc65672
15bab63030
hex77547fb4

2002026420 has 72 divisors (see below), whose sum is σ = 6430047624. Its totient is φ = 502468608.

The previous prime is 2002026419. The next prime is 2002026427. The reversal of 2002026420 is 246202002.

It is a happy number.

2002026420 is a `hidden beast` number, since 2 + 0 + 0 + 20 + 2 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 663783696 + 1338242724 = 25764^2 + 36582^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002026393 and 2002026402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002026427) 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, 324069 + ... + 330188.

It is an arithmetic number, because the mean of its divisors is an integer number (89306217).

Almost surely, 22002026420 is an apocalyptic number.

2002026420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002026420 is an abundant number, since it is smaller than the sum of its proper divisors (4428021204).

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

2002026420 is a wasteful number, since it uses less digits than its factorization.

2002026420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654289 (or 654284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002026420 is about 44744.0098784184. The cubic root of 2002026420 is about 1260.3464277971.

Adding to 2002026420 its reverse (246202002), we get a palindrome (2248228422).

The spelling of 2002026420 in words is "two billion, two million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 654257 1308514 1962771 2617028 3271285 3925542 5888313 6542570 7851084 9813855 11122369 11776626 13085140 19627710 22244738 23553252 29441565 33367107 39255420 44489476 55611845 58883130 66734214 100101321 111223690 117766260 133468428 166835535 200202642 222447380 333671070 400405284 500506605 667342140 1001013210 2002026420