Search a number
-
+
6002660430 = 2325138361813
BaseRepresentation
bin1011001011100100…
…10101010001001110
3120111100001202002200
411211302111101032
544243140113210
62431345502330
7301515525504
oct54562252116
916440052080
106002660430
112600388698
1211b63419a6
137487ba9a0
1440d302674
15251eb10c0
hex165c9544e

6002660430 has 96 divisors (see below), whose sum is σ = 17010223776. Its totient is φ = 1459752192.

The previous prime is 6002660401. The next prime is 6002660431. The reversal of 6002660430 is 340662006.

6002660430 is a `hidden beast` number, since 6 + 0 + 0 + 26 + 604 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6002660394 and 6002660403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6002660431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66204 + ... + 128016.

It is an arithmetic number, because the mean of its divisors is an integer number (177189831).

Almost surely, 26002660430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6002660430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505111888).

6002660430 is an abundant number, since it is smaller than the sum of its proper divisors (11007563346).

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

6002660430 is a wasteful number, since it uses less digits than its factorization.

6002660430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61922 (or 61919 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 6002660430 is about 77476.8380227278. The cubic root of 6002660430 is about 1817.3891265985.

The spelling of 6002660430 in words is "six billion, two million, six hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 83 90 117 130 166 195 234 249 390 415 498 585 747 830 1079 1170 1245 1494 2158 2490 3237 3735 5395 6474 7470 9711 10790 16185 19422 32370 48555 61813 97110 123626 185439 309065 370878 556317 618130 803569 927195 1112634 1607138 1854390 2410707 2781585 4017845 4821414 5130479 5563170 7232121 8035690 10260958 12053535 14464242 15391437 24107070 25652395 30782874 36160605 46174311 51304790 66696227 72321210 76957185 92348622 133392454 153914370 200088681 230871555 333481135 400177362 461743110 600266043 666962270 1000443405 1200532086 2000886810 3001330215 6002660430