Search a number
-
+
5780332760 = 2351946316427
BaseRepresentation
bin1010110001000100…
…01110000011011000
3112220211201022212112
411120202032003120
543314231122020
62353324331452
7263146006046
oct53042160330
915824638775
105780332760
1124a6935614
1211539a3b88
13711716957
143cb98b396
1523c6e62c5
hex15888e0d8

5780332760 has 64 divisors (see below), whose sum is σ = 13720665600. Its totient is φ = 2185577856.

The previous prime is 5780332759. The next prime is 5780332781. The reversal of 5780332760 is 672330875.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343667 + ... + 360093.

It is an arithmetic number, because the mean of its divisors is an integer number (214385400).

Almost surely, 25780332760 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 5780332760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860332800).

5780332760 is an abundant number, since it is smaller than the sum of its proper divisors (7940332840).

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

5780332760 is a wasteful number, since it uses less digits than its factorization.

5780332760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 5780332760 is about 76028.4996563789. The cubic root of 5780332760 is about 1794.6686652914.

The spelling of 5780332760 in words is "five billion, seven hundred eighty million, three hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 463 760 926 1852 2315 3704 4630 8797 9260 16427 17594 18520 32854 35188 43985 65708 70376 82135 87970 131416 164270 175940 312113 328540 351880 624226 657080 1248452 1560565 2496904 3121130 6242260 7605701 12484520 15211402 30422804 38028505 60845608 76057010 144508319 152114020 289016638 304228040 578033276 722541595 1156066552 1445083190 2890166380 5780332760