Search a number
-
+
2124620160 = 27351385121
BaseRepresentation
bin111111010100011…
…0010000110000000
312111001211212221120
41332220302012000
513322400321120
6550453552240
7103435654605
oct17650620600
95431755846
102124620160
119a0324633
124b3645680
1327b22b1c0
141622586ac
15c67cc140
hex7ea32180

2124620160 has 128 divisors (see below), whose sum is σ = 7293252960. Its totient is φ = 522977280.

The previous prime is 2124620159. The next prime is 2124620171. The reversal of 2124620160 is 610264212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2124620160.

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, 17601 + ... + 67520.

Almost surely, 22124620160 is an apocalyptic number.

2124620160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646626480).

2124620160 is an abundant number, since it is smaller than the sum of its proper divisors (5168632800).

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

2124620160 is a wasteful number, since it uses less digits than its factorization.

2124620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85156 (or 85144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2124620160 is about 46093.6021590849. The cubic root of 2124620160 is about 1285.5641887567.

Adding to 2124620160 its reverse (610264212), we get a palindrome (2734884372).

The spelling of 2124620160 in words is "two billion, one hundred twenty-four million, six hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 85121 170242 255363 340484 425605 510726 680968 851210 1021452 1106573 1276815 1361936 1702420 2042904 2213146 2553630 2723872 3319719 3404840 4085808 4426292 5107260 5447744 5532865 6639438 6809680 8171616 8852584 10214520 10895488 11065730 13278876 13619360 16343232 16598595 17705168 20429040 22131460 26557752 27238720 32686464 33197190 35410336 40858080 44262920 53115504 54477440 66394380 70820672 81716160 88525840 106231008 132788760 141641344 163432320 177051680 212462016 265577520 354103360 424924032 531155040 708206720 1062310080 2124620160