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5430660660 = 2233579127301
BaseRepresentation
bin1010000111011000…
…10100111000110100
3112000110202010221000
411003230110320310
542110222120120
62254513523300
7251401565625
oct50354247064
915013663830
105430660660
112337514807
121076873530
13687146a99
14397367a4c
1521bb74990
hex143b14e34

5430660660 has 96 divisors (see below), whose sum is σ = 17109388800. Its totient is φ = 1429833600.

The previous prime is 5430660643. The next prime is 5430660671. The reversal of 5430660660 is 660660345.

5430660660 is a `hidden beast` number, since 5 + 43 + 0 + 6 + 606 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 20991 + ... + 106310.

It is an arithmetic number, because the mean of its divisors is an integer number (178222800).

Almost surely, 25430660660 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 5430660660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554694400).

5430660660 is an abundant number, since it is smaller than the sum of its proper divisors (11678728140).

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

5430660660 is a wasteful number, since it uses less digits than its factorization.

5430660660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127398 (or 127390 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5430660660 is about 73693.0163584040. The cubic root of 5430660660 is about 1757.7248343338.

The spelling of 5430660660 in words is "five billion, four hundred thirty million, six hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2844 3555 4266 4740 7110 8532 10665 14220 21330 42660 127301 254602 381903 509204 636505 763806 1145709 1273010 1527612 1909515 2291418 2546020 3437127 3819030 4582836 5728545 6874254 7638060 10056779 11457090 13748508 17185635 20113558 22914180 30170337 34371270 40227116 50283895 60340674 68742540 90511011 100567790 120681348 150851685 181022022 201135580 271533033 301703370 362044044 452555055 543066066 603406740 905110110 1086132132 1357665165 1810220220 2715330330 5430660660