Search a number
-
+
5311598280 = 2335318317203
BaseRepresentation
bin1001111001001100…
…01000111011001000
3111201011201011001020
410330212020323020
541334232121110
62235021552440
7245424561162
oct47446107310
914634634036
105311598280
11228629344a
121042a15720
1366858a881
14385613932
152114a6d70
hex13c988ec8

5311598280 has 128 divisors (see below), whose sum is σ = 16647966720. Its totient is φ = 1354141440.

The previous prime is 5311598267. The next prime is 5311598287. The reversal of 5311598280 is 828951135.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5311598287) 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, 300159 + ... + 317361.

It is an arithmetic number, because the mean of its divisors is an integer number (130062240).

Almost surely, 25311598280 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 5311598280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323983360).

5311598280 is an abundant number, since it is smaller than the sum of its proper divisors (11336368440).

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

5311598280 is a wasteful number, since it uses less digits than its factorization.

5311598280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17331 (or 17327 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 5311598280 is about 72880.7126748909. The cubic root of 5311598280 is about 1744.7842832605.

The spelling of 5311598280 in words is "five billion, three hundred eleven million, five hundred ninety-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 83 93 120 124 155 166 186 248 249 310 332 372 415 465 498 620 664 744 830 930 996 1240 1245 1660 1860 1992 2490 2573 3320 3720 4980 5146 7719 9960 10292 12865 15438 17203 20584 25730 30876 34406 38595 51460 51609 61752 68812 77190 86015 102920 103218 137624 154380 172030 206436 258045 308760 344060 412872 516090 533293 688120 1032180 1066586 1427849 1599879 2064360 2133172 2666465 2855698 3199758 4266344 4283547 5332930 5711396 6399516 7139245 7999395 8567094 10665860 11422792 12799032 14278490 15998790 17134188 21331720 21417735 28556980 31997580 34268376 42835470 44263319 57113960 63995160 85670940 88526638 132789957 171341880 177053276 221316595 265579914 354106552 442633190 531159828 663949785 885266380 1062319656 1327899570 1770532760 2655799140 5311598280