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261350420 = 22553246557
BaseRepresentation
bin11111001001111…
…10010000010100
3200012202222101012
433210332100110
51013401203140
641533351352
76322304402
oct1744762024
9605688335
10261350420
11124586491
1273638558
13421b7b26
14269d2472
1517e27265
hexf93e414

261350420 has 24 divisors (see below), whose sum is σ = 559193544. Its totient is φ = 102567296.

The previous prime is 261350399. The next prime is 261350423. The reversal of 261350420 is 24053162.

261350420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103144336 + 158206084 = 10156^2 + 12578^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261350423) 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, 122219 + ... + 124338.

It is an arithmetic number, because the mean of its divisors is an integer number (23299731).

Almost surely, 2261350420 is an apocalyptic number.

261350420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261350420 is an abundant number, since it is smaller than the sum of its proper divisors (297843124).

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

261350420 is a wasteful number, since it uses less digits than its factorization.

261350420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246619 (or 246617 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 261350420 is about 16166.3360103643. The cubic root of 261350420 is about 639.3535301575.

The spelling of 261350420 in words is "two hundred sixty-one million, three hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 246557 493114 986228 1232785 2465570 4931140 13067521 26135042 52270084 65337605 130675210 261350420