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1813948080 = 243574722973
BaseRepresentation
bin110110000011110…
…1010011010110000
311200102021002222020
41230013222122300
512203332314310
6455555111440
762644206240
oct15407523260
94612232866
101813948080
11850a2104a
124275a2580
1322ba64979
14132ca7b20
15a93b1170
hex6c1ea6b0

1813948080 has 160 divisors (see below), whose sum is σ = 6563579904. Its totient is φ = 405777408.

The previous prime is 1813948079. The next prime is 1813948109. The reversal of 1813948080 is 808493181.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67474 + ... + 90446.

Almost surely, 21813948080 is an apocalyptic number.

1813948080 is a gapful number since it is divisible by the number (10) 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 1813948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281789952).

1813948080 is an abundant number, since it is smaller than the sum of its proper divisors (4749631824).

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

1813948080 is a wasteful number, since it uses less digits than its factorization.

1813948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23043 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1813948080 is about 42590.4693564182. The cubic root of 1813948080 is about 1219.5743565767.

The spelling of 1813948080 in words is "one billion, eight hundred thirteen million, nine hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 19740 22973 26320 39480 45946 68919 78960 91892 114865 137838 160811 183784 229730 275676 321622 344595 367568 459460 482433 551352 643244 689190 804055 918920 964866 1079731 1102704 1286488 1378380 1608110 1837840 1929732 2159462 2412165 2572976 2756760 3216220 3239193 3859464 4318924 4824330 5398655 5513520 6432440 6478386 7558117 7718928 8637848 9648660 10797310 12864880 12956772 15116234 16195965 17275696 19297320 21594620 22674351 25913544 30232468 32391930 37790585 38594640 43189240 45348702 51827088 60464936 64783860 75581170 86378480 90697404 113371755 120929872 129567720 151162340 181394808 226743510 259135440 302324680 362789616 453487020 604649360 906974040 1813948080