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2260067936 = 2571931471
BaseRepresentation
bin1000011010110101…
…1110011001100000
312211111201100100212
42012231132121200
514112034133221
61012133033252
7110002155230
oct20655363140
95744640325
102260067936
11a5a827545
12530a85828
132a0303509
14176235cc0
15d3634b5b
hex86b5e660

2260067936 has 96 divisors (see below), whose sum is σ = 5371269120. Its totient is φ = 916997760.

The previous prime is 2260067911. The next prime is 2260067951. The reversal of 2260067936 is 6397600622.

It is a junction number, because it is equal to n+sod(n) for n = 2260067893 and 2260067902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535681 + ... + 1537151.

It is an arithmetic number, because the mean of its divisors is an integer number (55950720).

Almost surely, 22260067936 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 2260067936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685634560).

2260067936 is an abundant number, since it is smaller than the sum of its proper divisors (3111201184).

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

2260067936 is an equidigital number, since it uses as much as digits as its factorization.

2260067936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 41.

The square root of 2260067936 is about 47540.1718128995. The cubic root of 2260067936 is about 1312.3222674043.

The spelling of 2260067936 in words is "two billion, two hundred sixty million, sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 361 532 608 722 1064 1444 1471 2128 2527 2888 2942 4256 5054 5776 5884 6859 10108 10297 11552 11768 13718 20216 20594 23536 27436 27949 40432 41188 47072 48013 54872 55898 80864 82376 96026 109744 111796 164752 192052 195643 219488 223592 329504 384104 391286 447184 531031 768208 782572 894368 1062062 1536416 1565144 2124124 3130288 3717217 4248248 6260576 7434434 8496496 10089589 14868868 16992992 20179178 29737736 40358356 59475472 70627123 80716712 118950944 141254246 161433424 282508492 322866848 565016984 1130033968 2260067936