Search a number
-
+
5660001720 = 23325131120017
BaseRepresentation
bin1010100010101110…
…01100010110111000
3112121110021212201100
411101113030112320
543042430023340
62333345251400
7260155135512
oct52127142670
915543255640
105660001720
112444a1807a
12111b633b60
136c2805159
143b99c6bb2
15231d77830
hex1515cc5b8

5660001720 has 96 divisors (see below), whose sum is σ = 18535579920. Its totient is φ = 1497799680.

The previous prime is 5660001673. The next prime is 5660001769. The reversal of 5660001720 is 271000665.

5660001720 is a `hidden beast` number, since 56 + 600 + 0 + 1 + 7 + 2 + 0 = 666.

It is a congruent number.

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, 12849 + ... + 107168.

Almost surely, 25660001720 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 5660001720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267789960).

5660001720 is an abundant number, since it is smaller than the sum of its proper divisors (12875578200).

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

5660001720 is a wasteful number, since it uses less digits than its factorization.

5660001720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120165 (or 120158 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5660001720 is about 75232.9829263735. The cubic root of 5660001720 is about 1782.1278387052.

The spelling of 5660001720 in words is "five billion, six hundred sixty million, one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 131 180 262 360 393 524 655 786 1048 1179 1310 1572 1965 2358 2620 3144 3930 4716 5240 5895 7860 9432 11790 15720 23580 47160 120017 240034 360051 480068 600085 720102 960136 1080153 1200170 1440204 1800255 2160306 2400340 2880408 3600510 4320612 4800680 5400765 7201020 8641224 10801530 14402040 15722227 21603060 31444454 43206120 47166681 62888908 78611135 94333362 125777816 141500043 157222270 188666724 235833405 283000086 314444540 377333448 471666810 566000172 628889080 707500215 943333620 1132000344 1415000430 1886667240 2830000860 5660001720