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260146340 = 225591131951
BaseRepresentation
bin11111000000110…
…00010010100100
3200010111210200122
433200120102210
51013044140330
641451501112
76306131066
oct1740302244
9603453618
10260146340
11123933883
1273157798
1341b85a5c
142679b736
1517c8a5e5
hexf8184a4

260146340 has 48 divisors (see below), whose sum is σ = 560770560. Its totient is φ = 101337600.

The previous prime is 260146339. The next prime is 260146351. The reversal of 260146340 is 43641062.

It is a super-2 number, since 2×2601463402 = 135352236430791200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132365 + ... + 134315.

It is an arithmetic number, because the mean of its divisors is an integer number (11682720).

Almost surely, 2260146340 is an apocalyptic number.

260146340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260146340 is an abundant number, since it is smaller than the sum of its proper divisors (300624220).

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

260146340 is a wasteful number, since it uses less digits than its factorization.

260146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 260146340 is about 16129.0526690193. The cubic root of 260146340 is about 638.3701530268.

The spelling of 260146340 in words is "two hundred sixty million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 59 113 118 226 236 295 452 565 590 1130 1180 1951 2260 3902 6667 7804 9755 13334 19510 26668 33335 39020 66670 115109 133340 220463 230218 440926 460436 575545 881852 1102315 1151090 2204630 2302180 4409260 13007317 26014634 52029268 65036585 130073170 260146340