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260229168 = 243219227419
BaseRepresentation
bin11111000001011…
…00100000110000
3200010200000022100
433200230200300
51013104313133
641453340400
76306624423
oct1740544060
9603600270
10260229168
11123990031
1273197700
1341bb4674
14267bd9ba
1517ca4e13
hexf82c830

260229168 has 120 divisors (see below), whose sum is σ = 771825600. Its totient is φ = 81620352.

The previous prime is 260229143. The next prime is 260229257. The reversal of 260229168 is 861922062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 620863 + ... + 621281.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2260229168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260229168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

260229168 is an abundant number, since it is smaller than the sum of its proper divisors (511596432).

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

260229168 is a wasteful number, since it uses less digits than its factorization.

260229168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260229168 is about 16131.6201294228. The cubic root of 260229168 is about 638.4378960676.

The spelling of 260229168 in words is "two hundred sixty million, two hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 227 228 304 342 419 454 456 681 684 838 908 912 1257 1362 1368 1676 1816 2043 2514 2724 2736 3352 3632 3771 4086 4313 5028 5448 6704 7542 7961 8172 8626 10056 10896 12939 15084 15922 16344 17252 20112 23883 25878 30168 31844 32688 34504 38817 47766 51756 60336 63688 69008 71649 77634 95113 95532 103512 127376 143298 155268 190226 191064 207024 285339 286596 310536 380452 382128 570678 573192 621072 760904 856017 1141356 1146384 1521808 1712034 1807147 2282712 3424068 3614294 4565424 5421441 6848136 7228588 10842882 13696272 14457176 16264323 21685764 28914352 32528646 43371528 65057292 86743056 130114584 260229168