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261346420 = 22561321317
BaseRepresentation
bin11111001001111…
…01010001110100
3200012202202220001
433210331101310
51013401041140
641533321044
76322256626
oct1744752164
9605682801
10261346420
11124583485
1273636184
13421b606a
14269d0c16
1517e25e9a
hexf93d474

261346420 has 24 divisors (see below), whose sum is σ = 549748584. Its totient is φ = 104363136.

The previous prime is 261346417. The next prime is 261346427. The reversal of 261346420 is 24643162.

It can be written as a sum of positive squares in 4 ways, for example, as 29637136 + 231709284 = 5444^2 + 15222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261346427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1602 + ... + 22918.

It is an arithmetic number, because the mean of its divisors is an integer number (22906191).

Almost surely, 2261346420 is an apocalyptic number.

261346420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261346420 is an abundant number, since it is smaller than the sum of its proper divisors (288402164).

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

261346420 is a wasteful number, since it uses less digits than its factorization.

261346420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21939 (or 21937 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 261346420 is about 16166.2122960204. The cubic root of 261346420 is about 639.3502683463.

Adding to 261346420 its reverse (24643162), we get a palindrome (285989582).

The spelling of 261346420 in words is "two hundred sixty-one million, three hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 613 1226 2452 3065 6130 12260 21317 42634 85268 106585 213170 426340 13067321 26134642 52269284 65336605 130673210 261346420