Search a number
-
+
5432364720 = 243259777783
BaseRepresentation
bin1010000111100101…
…10100111010110000
3112000120221201110100
411003302310322300
542111141132340
62255014232400
7251422224006
oct50362647260
915016851410
105432364720
112338479022
121077355700
136875c25c3
1439768ca76
1521bdae830
hex143cb4eb0

5432364720 has 120 divisors (see below), whose sum is σ = 18432007776. Its totient is φ = 1433677824.

The previous prime is 5432364719. The next prime is 5432364731. The reversal of 5432364720 is 274632345.

5432364720 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 3 + 647 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×54323647202 = 59021172902201356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30949 + ... + 108731.

Almost surely, 25432364720 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 5432364720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216003888).

5432364720 is an abundant number, since it is smaller than the sum of its proper divisors (12999643056).

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

5432364720 is a wasteful number, since it uses less digits than its factorization.

5432364720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77899 (or 77890 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 5432364720 is about 73704.5773341113. The cubic root of 5432364720 is about 1757.9086643521.

The spelling of 5432364720 in words is "five billion, four hundred thirty-two million, three hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 69840 77783 155566 233349 311132 388915 466698 622264 700047 777830 933396 1166745 1244528 1400094 1555660 1866792 2333490 2800188 3111320 3500235 3733584 4666980 5600376 6222640 7000470 7544951 9333960 11200752 14000940 15089902 18667920 22634853 28001880 30179804 37724755 45269706 56003760 60359608 67904559 75449510 90539412 113174265 120719216 135809118 150899020 181078824 226348530 271618236 301798040 339522795 362157648 452697060 543236472 603596080 679045590 905394120 1086472944 1358091180 1810788240 2716182360 5432364720