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260280032 = 254325383
BaseRepresentation
bin11111000001110…
…00111011100000
3200010202121002012
433200320323200
51013112430112
641454412052
76310225625
oct1740707340
9603677065
10260280032
11123a15271
1273201028
1341c0186c
14267d434c
1517cb5022
hexf838ee0

260280032 has 72 divisors (see below), whose sum is σ = 540958824. Its totient is φ = 123212544.

The previous prime is 260280001. The next prime is 260280043. The reversal of 260280032 is 230082062.

260280032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3135863 + ... + 3135945.

It is an arithmetic number, because the mean of its divisors is an integer number (7513317).

Almost surely, 2260280032 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 260280032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270479412).

260280032 is an abundant number, since it is smaller than the sum of its proper divisors (280678792).

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

260280032 is an equidigital number, since it uses as much as digits as its factorization.

260280032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 260280032 is about 16133.1965834425. The cubic root of 260280032 is about 638.4794893933.

The spelling of 260280032 in words is "two hundred sixty million, two hundred eighty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 53 83 86 106 166 172 212 332 344 424 664 688 848 1328 1376 1696 1849 2279 2656 3569 3698 4399 4558 7138 7396 8798 9116 14276 14792 17596 18232 28552 29584 35192 36464 57104 59168 70384 72928 97997 114208 140768 153467 189157 195994 306934 378314 391988 613868 756628 783976 1227736 1513256 1567952 2455472 3026512 3135904 4910944 6053024 8133751 16267502 32535004 65070008 130140016 260280032