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260087296 = 29731481
BaseRepresentation
bin11111000000010…
…01111000000000
3200010101210200211
433200021320000
51013040243141
641450323504
76305464000
oct1740117000
9603353624
10260087296
111238a3487
1273129594
1341b64c11
1426784000
1517c77d81
hexf809e00

260087296 has 80 divisors (see below), whose sum is σ = 606434400. Its totient is φ = 111390720.

The previous prime is 260087249. The next prime is 260087309. The reversal of 260087296 is 692780062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174876 + ... + 176356.

It is an arithmetic number, because the mean of its divisors is an integer number (7580430).

Almost surely, 2260087296 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 260087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303217200).

260087296 is an abundant number, since it is smaller than the sum of its proper divisors (346347104).

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

260087296 is an frugal number, since it uses more digits than its factorization.

260087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 260087296 is about 16127.2222034670. Note that the first 4 decimals coincide. The cubic root of 260087296 is about 638.3218535719.

The spelling of 260087296 in words is "two hundred sixty million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1372 1481 1568 1792 2744 2962 3136 3584 5488 5924 6272 10367 10976 11848 12544 20734 21952 23696 25088 41468 43904 47392 72569 82936 87808 94784 145138 165872 175616 189568 290276 331744 379136 507983 580552 663488 758272 1015966 1161104 1326976 2031932 2322208 2653952 4063864 4644416 5307904 8127728 9288832 16255456 18577664 32510912 37155328 65021824 130043648 260087296