Search a number
-
+
39329080 = 23572331197
BaseRepresentation
bin1001011000000…
…1110100111000
32202000010100121
42112001310320
540032012310
63522543024
7655202020
oct226016470
982003317
1039329080
112022257a
1211207a74
1381c035b
14531aa80
1536bd0da
hex2581d38

39329080 has 128 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 12418560.

The previous prime is 39329071. The next prime is 39329093. The reversal of 39329080 is 8092393.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199542 + ... + 199738.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 239329080 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 39329080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

39329080 is an abundant number, since it is smaller than the sum of its proper divisors (70157000).

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

39329080 is a wasteful number, since it uses less digits than its factorization.

39329080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 39329080 is about 6271.2901384006. The cubic root of 39329080 is about 340.0723029624.

The spelling of 39329080 in words is "thirty-nine million, three hundred twenty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 31 35 40 46 56 62 70 92 115 124 140 155 161 184 197 217 230 248 280 310 322 394 434 460 620 644 713 788 805 868 920 985 1085 1240 1288 1379 1426 1576 1610 1736 1970 2170 2758 2852 3220 3565 3940 4340 4531 4991 5516 5704 6107 6440 6895 7130 7880 8680 9062 9982 11032 12214 13790 14260 18124 19964 22655 24428 24955 27580 28520 30535 31717 36248 39928 42749 45310 48856 49910 55160 61070 63434 85498 90620 99820 122140 126868 140461 158585 170996 181240 199640 213745 244280 253736 280922 317170 341992 427490 561844 634340 702305 854980 983227 1123688 1268680 1404610 1709960 1966454 2809220 3932908 4916135 5618440 7865816 9832270 19664540 39329080