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1013800518 = 2321937113709
BaseRepresentation
bin111100011011010…
…101111001000110
32121122122101212100
4330123111321012
54034013104033
6244333132530
734060106433
oct7433257106
92548571770
101013800518
1148029a375
1224362a146
1313205c883
1498900b8a
155e00a513
hex3c6d5e46

1013800518 has 96 divisors (see below), whose sum is σ = 2399061600. Its totient is φ = 308302848.

The previous prime is 1013800507. The next prime is 1013800523. The reversal of 1013800518 is 8150083101.

1013800518 is a `hidden beast` number, since 10 + 138 + 0 + 0 + 518 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1013800491 and 1013800500.

It is a congruent number.

It is an unprimeable number.

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, 1429548 + ... + 1430256.

It is an arithmetic number, because the mean of its divisors is an integer number (24990225).

Almost surely, 21013800518 is an apocalyptic number.

1013800518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013800518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199530800).

1013800518 is an abundant number, since it is smaller than the sum of its proper divisors (1385261082).

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

1013800518 is a wasteful number, since it uses less digits than its factorization.

1013800518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1013800518 is about 31840.2342642136. The cubic root of 1013800518 is about 1004.5791718453.

Adding to 1013800518 its reverse (8150083101), we get a palindrome (9163883619).

The spelling of 1013800518 in words is "one billion, thirteen million, eight hundred thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 113 114 171 222 226 333 339 342 666 678 703 709 1017 1406 1418 2034 2109 2127 2147 4181 4218 4254 4294 6327 6381 6441 8362 12543 12654 12762 12882 13471 19323 25086 26233 26942 37629 38646 40413 52466 75258 78699 79439 80117 80826 121239 157398 158878 160234 236097 238317 240351 242478 472194 476634 480702 498427 714951 721053 996854 1429902 1442106 1495281 1522223 2964329 2990562 3044446 4485843 4566669 5928658 8892987 8971686 9133338 13700007 17785974 26678961 27400014 53357922 56322251 112644502 168966753 337933506 506900259 1013800518