Search a number
-
+
5767427120 = 245713792229
BaseRepresentation
bin1010101111100001…
…11111010000110000
3112212221102122122212
411113300333100300
543302430131440
62352143551252
7262631215220
oct52760772060
915787378585
105767427120
11249a6203a4
12114b5bb528
1370bb48690
143c9d8c080
1523b4e7465
hex157c3f430

5767427120 has 80 divisors (see below), whose sum is σ = 16503735360. Its totient is φ = 1825293312.

The previous prime is 5767427111. The next prime is 5767427129. The reversal of 5767427120 is 217247675.

It is an interprime number because it is at equal distance from previous prime (5767427111) and next prime (5767427129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57674271202 = 66526431169022988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5767427129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388835 + ... + 403394.

It is an arithmetic number, because the mean of its divisors is an integer number (206296692).

Almost surely, 25767427120 is an apocalyptic number.

It is an amenable number.

5767427120 is an abundant number, since it is smaller than the sum of its proper divisors (10736308240).

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

5767427120 is a wasteful number, since it uses less digits than its factorization.

5767427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792262 (or 792256 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 5767427120 is about 75943.5785303800. The cubic root of 5767427120 is about 1793.3320290693.

The spelling of 5767427120 in words is "five billion, seven hundred sixty-seven million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 792229 1584458 3168916 3961145 5545603 6337832 7922290 10298977 11091206 12675664 15844580 20597954 22182412 27728015 31689160 41195908 44364824 51494885 55456030 63378320 72092839 82391816 88729648 102989770 110912060 144185678 164783632 205979540 221824120 288371356 360464195 411959080 443648240 576742712 720928390 823918160 1153485424 1441856780 2883713560 5767427120