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260056830 = 235112312311
BaseRepresentation
bin11111000000000…
…10011011111110
3200010100020220110
433200002123332
51013033304310
641445530450
76305306115
oct1740023376
9603306813
10260056830
11123882600
1273113a26
1341b540a7
1426776c7c
1517c6dd20
hexf8026fe

260056830 has 96 divisors (see below), whose sum is σ = 708470784. Its totient is φ = 60984000.

The previous prime is 260056829. The next prime is 260056859. The reversal of 260056830 is 38650062.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111375 + ... + 113685.

It is an arithmetic number, because the mean of its divisors is an integer number (7379904).

Almost surely, 2260056830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260056830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354235392).

260056830 is an abundant number, since it is smaller than the sum of its proper divisors (448413954).

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

260056830 is a wasteful number, since it uses less digits than its factorization.

260056830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 260056830 is about 16126.2776238040. The cubic root of 260056830 is about 638.2969287700.

The spelling of 260056830 in words is "two hundred sixty million, fifty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 930 1023 1210 1705 1815 2046 2311 3410 3630 3751 4622 5115 6933 7502 10230 11253 11555 13866 18755 22506 23110 25421 34665 37510 50842 56265 69330 71641 76263 112530 127105 143282 152526 214923 254210 279631 358205 381315 429846 559262 716410 762630 788051 838893 1074615 1398155 1576102 1677786 2149230 2364153 2796310 3940255 4194465 4728306 7880510 8388930 8668561 11820765 17337122 23641530 26005683 43342805 52011366 86685610 130028415 260056830