Search a number
-
+
1813307056 = 241131271151
BaseRepresentation
bin110110000010100…
…1101111010110000
311200101001112122121
41230011031322300
512203201311211
6455533244024
762635566331
oct15405157260
94611045577
101813307056
11850623480
12427333614
1322b89bc72
14132b7c288
15a92d6271
hex6c14deb0

1813307056 has 120 divisors (see below), whose sum is σ = 4042669824. Its totient is φ = 781200000.

The previous prime is 1813307011. The next prime is 1813307071. The reversal of 1813307056 is 6507033181.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12008581 + ... + 12008731.

Almost surely, 21813307056 is an apocalyptic number.

1813307056 is a gapful number since it is divisible by the number (16) 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 1813307056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021334912).

1813307056 is an abundant number, since it is smaller than the sum of its proper divisors (2229362768).

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

1813307056 is a wasteful number, since it uses less digits than its factorization.

1813307056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1813307056 is about 42582.9432519642. The cubic root of 1813307056 is about 1219.4306794508.

The spelling of 1813307056 in words is "one billion, eight hundred thirteen million, three hundred seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 71 88 124 142 151 176 248 284 302 341 496 568 604 682 781 961 1136 1208 1364 1562 1661 1922 2201 2416 2728 3124 3322 3844 4402 4681 5456 6248 6644 7688 8804 9362 10571 10721 12496 13288 15376 17608 18724 21142 21442 24211 26576 35216 37448 42284 42884 48422 51491 68231 74896 84568 85768 96844 102982 117931 136462 145111 169136 171536 193688 205964 235862 272924 290222 332351 387376 411928 471724 545848 580444 664702 750541 823856 943448 1091696 1160888 1329404 1501082 1596221 1886896 2321776 2658808 3002164 3192442 3655861 5317616 6004328 6384884 7311722 10302881 12008656 12769768 14623444 20605762 25539536 29246888 41211524 58493776 82423048 113331691 164846096 226663382 453326764 906653528 1813307056