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2260390380 = 2235172612137
BaseRepresentation
bin1000011010111010…
…1101000111101100
312211112022201200020
42012232231013230
514112124443010
61012144002140
7110005000263
oct20656550754
95745281606
102260390380
11a5aa27826
12531000350
132a03b7201
141762bb5da
15d369a470
hex86bad1ec

2260390380 has 144 divisors (see below), whose sum is σ = 6836708256. Its totient is φ = 557752320.

The previous prime is 2260390369. The next prime is 2260390381. The reversal of 2260390380 is 830930622.

It is not an unprimeable number, because it can be changed into a prime (2260390381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1056672 + ... + 1058808.

Almost surely, 22260390380 is an apocalyptic number.

2260390380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260390380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418354128).

2260390380 is an abundant number, since it is smaller than the sum of its proper divisors (4576317876).

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

2260390380 is a wasteful number, since it uses less digits than its factorization.

2260390380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2260390380 is about 47543.5629712372. The cubic root of 2260390380 is about 1312.3846741300.

The spelling of 2260390380 in words is "two billion, two hundred sixty million, three hundred ninety thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 289 305 340 366 510 578 610 732 867 915 1020 1037 1156 1220 1445 1734 1830 2074 2137 2890 3111 3468 3660 4148 4274 4335 5185 5780 6222 6411 8548 8670 10370 10685 12444 12822 15555 17340 17629 20740 21370 25644 31110 32055 35258 36329 42740 52887 62220 64110 70516 72658 88145 105774 108987 128220 130357 145316 176290 181645 211548 217974 260714 264435 352580 363290 391071 435948 521428 528870 544935 617593 651785 726580 782142 1057740 1089870 1235186 1303570 1564284 1852779 1955355 2179740 2216069 2470372 2607140 3087965 3705558 3910710 4432138 6175930 6648207 7411116 7821420 8864276 9263895 11080345 12351860 13296414 18527790 22160690 26592828 33241035 37055580 37673173 44321380 66482070 75346346 113019519 132964140 150692692 188365865 226039038 376731730 452078076 565097595 753463460 1130195190 2260390380