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261338460 = 223513731793
BaseRepresentation
bin11111001001110…
…11010101011100
3200012202100222020
433210323111130
51013400312320
641533220140
76322224465
oct1744732534
9605670866
10261338460
111245784a9
1273631650
13421b2556
14269cbd6c
1517e23940
hexf93b55c

261338460 has 48 divisors (see below), whose sum is σ = 737112096. Its totient is φ = 69179392.

The previous prime is 261338453. The next prime is 261338461. The reversal of 261338460 is 64833162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261338461) 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, 7677 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (15356502).

Almost surely, 2261338460 is an apocalyptic number.

261338460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261338460 is an abundant number, since it is smaller than the sum of its proper divisors (475773636).

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

261338460 is a wasteful number, since it uses less digits than its factorization.

261338460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31942 (or 31940 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 261338460 is about 16165.9661016594. The cubic root of 261338460 is about 639.3437772430.

The spelling of 261338460 in words is "two hundred sixty-one million, three hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 31793 63586 95379 127172 158965 190758 317930 381516 476895 635860 953790 1907580 4355641 8711282 13066923 17422564 21778205 26133846 43556410 52267692 65334615 87112820 130669230 261338460