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261412740 = 223251785429
BaseRepresentation
bin11111001010011…
…01011110000100
3200012220010212100
433211031132010
51013410201430
641534552100
76322654161
oct1745153604
9605803770
10261412740
11124619296
1273668630
134220a2c4
1426a0b068
1517e3a960
hexf94d784

261412740 has 72 divisors (see below), whose sum is σ = 839606040. Its totient is φ = 65608704.

The previous prime is 261412709. The next prime is 261412741. The reversal of 261412740 is 47214162.

261412740 is a `hidden beast` number, since 2 + 614 + 1 + 2 + 7 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3617604 + 257795136 = 1902^2 + 16056^2 .

It is not an unprimeable number, because it can be changed into a prime (261412741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39655 + ... + 45774.

It is an arithmetic number, because the mean of its divisors is an integer number (11661195).

Almost surely, 2261412740 is an apocalyptic number.

261412740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261412740 is an abundant number, since it is smaller than the sum of its proper divisors (578193300).

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

261412740 is a wasteful number, since it uses less digits than its factorization.

261412740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85461 (or 85456 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 261412740 is about 16168.2633575780. The cubic root of 261412740 is about 639.4043448777.

The spelling of 261412740 in words is "two hundred sixty-one million, four hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 85429 170858 256287 341716 427145 512574 768861 854290 1025148 1281435 1452293 1537722 1708580 2562870 2904586 3075444 3844305 4356879 5125740 5809172 7261465 7688610 8713758 13070637 14522930 15377220 17427516 21784395 26141274 29045860 43568790 52282548 65353185 87137580 130706370 261412740