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261286140 = 223531313913
BaseRepresentation
bin11111001001011…
…10100011111100
3200012122201012110
433210232203330
51013342124030
641532134020
76321616113
oct1744564374
9605581173
10261286140
11124542165
1273607310
13421947ab
14269b6c7a
1517e131b0
hexf92e8fc

261286140 has 48 divisors (see below), whose sum is σ = 733991328. Its totient is φ = 69448704.

The previous prime is 261286133. The next prime is 261286147. The reversal of 261286140 is 41682162.

261286140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261286133) and next prime (261286147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 261286098 and 261286107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261286147) 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, 11824 + ... + 25736.

It is an arithmetic number, because the mean of its divisors is an integer number (15291486).

Almost surely, 2261286140 is an apocalyptic number.

261286140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261286140 is an abundant number, since it is smaller than the sum of its proper divisors (472705188).

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

261286140 is a wasteful number, since it uses less digits than its factorization.

261286140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 261286140 is about 16164.3478062061. The cubic root of 261286140 is about 639.3011088212.

The spelling of 261286140 in words is "two hundred sixty-one million, two hundred eighty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 313 626 939 1252 1565 1878 3130 3756 4695 6260 9390 13913 18780 27826 41739 55652 69565 83478 139130 166956 208695 278260 417390 834780 4354769 8709538 13064307 17419076 21773845 26128614 43547690 52257228 65321535 87095380 130643070 261286140