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5430360660 = 2235178816043
BaseRepresentation
bin1010000111010110…
…01011101001010100
3112000110011220101220
411003223023221110
542110133020120
62254503250340
7251366206164
oct50353135124
915013156356
105430360660
11233732a37a
1210767499b0
1368707037a
143972ca5a4
1521bb15b40
hex143acba54

5430360660 has 96 divisors (see below), whose sum is σ = 16120363392. Its totient is φ = 1361141760.

The previous prime is 5430360659. The next prime is 5430360667. The reversal of 5430360660 is 660630345.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430360667) 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, 895599 + ... + 901641.

It is an arithmetic number, because the mean of its divisors is an integer number (167920452).

Almost surely, 25430360660 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 5430360660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060181696).

5430360660 is an abundant number, since it is smaller than the sum of its proper divisors (10690002732).

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

5430360660 is a wasteful number, since it uses less digits than its factorization.

5430360660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6953 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 5430360660 is about 73690.9808592612. The cubic root of 5430360660 is about 1757.6924670527.

The spelling of 5430360660 in words is "five billion, four hundred thirty million, three hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 881 1020 1762 2643 3524 4405 5286 6043 8810 10572 12086 13215 14977 17620 18129 24172 26430 29954 30215 36258 44931 52860 59908 60430 72516 74885 89862 90645 102731 120860 149770 179724 181290 205462 224655 299540 308193 362580 410924 449310 513655 616386 898620 1027310 1232772 1540965 2054620 3081930 5323883 6163860 10647766 15971649 21295532 26619415 31943298 53238830 63886596 79858245 90506011 106477660 159716490 181012022 271518033 319432980 362024044 452530055 543036066 905060110 1086072132 1357590165 1810120220 2715180330 5430360660