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260556426 = 23413231307
BaseRepresentation
bin11111000011111…
…00011010001010
3200011021122020000
433201330122022
51013200301201
641504343430
76312456504
oct1741743212
9604248200
10260556426
11124093999
1273314b76
1341c9a600
1426866d74
1517d1bd86
hexf87c68a

260556426 has 120 divisors (see below), whose sum is σ = 654724224. Its totient is φ = 77332320.

The previous prime is 260556419. The next prime is 260556431. The reversal of 260556426 is 624655062.

260556426 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 5 + 642 + 6 = 666.

It is a super-2 number, since 2×2605564262 = 135779302259786952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 848565 + ... + 848871.

Almost surely, 2260556426 is an apocalyptic number.

260556426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 260556426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327362112).

260556426 is an abundant number, since it is smaller than the sum of its proper divisors (394167798).

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

260556426 is a wasteful number, since it uses less digits than its factorization.

260556426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 260556426 is about 16141.7603129275. The cubic root of 260556426 is about 638.7054120527.

The spelling of 260556426 in words is "two hundred sixty million, five hundred fifty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 169 186 234 279 307 338 351 403 507 558 614 702 806 837 921 1014 1053 1209 1521 1674 1842 2106 2418 2511 2763 3042 3627 3991 4563 5022 5239 5526 7254 7982 8289 9126 9517 10478 10881 11973 13689 15717 16578 19034 21762 23946 24867 27378 28551 31434 32643 35919 47151 49734 51883 57102 65286 71838 85653 94302 103766 107757 123721 141453 155649 171306 215514 247442 256959 282906 311298 323271 371163 424359 466947 513918 646542 742326 770877 848718 933894 1113489 1400841 1541754 1608373 2226978 2801682 3216746 3340467 4202523 4825119 6680934 8405046 9650238 10021401 14475357 20042802 28950714 43426071 86852142 130278213 260556426