Search a number
-
+
30180539928 = 23371143337717
BaseRepresentation
bin11100000110111001…
…100111111000011000
32212220100000021121010
4130012321213320120
5443302204234203
621510441413520
72115621233220
oct340671477030
985810007533
1030180539928
1111888145390
125a2349a2a0
132acc8c7966
141664403080
15bb98dc303
hex706e67e18

30180539928 has 128 divisors (see below), whose sum is σ = 94288965120. Its totient is φ = 7820789760.

The previous prime is 30180539923. The next prime is 30180539951. The reversal of 30180539928 is 82993508103.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30180539923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781326 + ... + 819042.

It is an arithmetic number, because the mean of its divisors is an integer number (736632540).

Almost surely, 230180539928 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 30180539928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47144482560).

30180539928 is an abundant number, since it is smaller than the sum of its proper divisors (64108425192).

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

30180539928 is a wasteful number, since it uses less digits than its factorization.

30180539928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38177 (or 38173 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 30180539928 in words is "thirty billion, one hundred eighty million, five hundred thirty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 433 462 616 866 924 1299 1732 1848 2598 3031 3464 4763 5196 6062 9093 9526 10392 12124 14289 18186 19052 24248 28578 33341 36372 37717 38104 57156 66682 72744 75434 100023 113151 114312 133364 150868 200046 226302 264019 266728 301736 400092 414887 452604 528038 792057 800184 829774 905208 1056076 1244661 1584114 1659548 2112152 2489322 2904209 3168228 3319096 4978644 5808418 6336456 8712627 9957288 11616836 16331461 17425254 23233672 32662922 34850508 48994383 65325844 69701016 97988766 114320227 130651688 179646071 195977532 228640454 342960681 359292142 391955064 457280908 538938213 685921362 718584284 914561816 1077876426 1257522497 1371842724 1437168568 2155752852 2515044994 2743685448 3772567491 4311505704 5030089988 7545134982 10060179976 15090269964 30180539928