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2130182080 = 26513975279
BaseRepresentation
bin111111011110111…
…1111111111000000
312111110022110110121
41332331333333000
513330311311310
6551213110024
7103534151245
oct17675777700
95443273417
102130182080
119a3483364
124b5488314
1327c427990
14162ca55cc
15c702a0da
hex7ef7ffc0

2130182080 has 112 divisors (see below), whose sum is σ = 5520049920. Its totient is φ = 778272768.

The previous prime is 2130182071. The next prime is 2130182083. The reversal of 2130182080 is 802810312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130182083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400881 + ... + 406159.

It is an arithmetic number, because the mean of its divisors is an integer number (49286160).

Almost surely, 22130182080 is an apocalyptic number.

2130182080 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 2130182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760024960).

2130182080 is an abundant number, since it is smaller than the sum of its proper divisors (3389867840).

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

2130182080 is a wasteful number, since it uses less digits than its factorization.

2130182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 2130182080 is about 46153.8956102299. The cubic root of 2130182080 is about 1286.6850126098.

Adding to 2130182080 its reverse (802810312), we get a palindrome (2932992392).

The spelling of 2130182080 in words is "two billion, one hundred thirty million, one hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 97 104 130 160 194 208 260 320 388 416 485 520 776 832 970 1040 1261 1552 1940 2080 2522 3104 3880 4160 5044 5279 6208 6305 7760 10088 10558 12610 15520 20176 21116 25220 26395 31040 40352 42232 50440 52790 68627 80704 84464 100880 105580 137254 168928 201760 211160 274508 337856 343135 403520 422320 512063 549016 686270 844640 1024126 1098032 1372540 1689280 2048252 2196064 2560315 2745080 4096504 4392128 5120630 5490160 6656819 8193008 10241260 10980320 13313638 16386016 20482520 21960640 26627276 32772032 33284095 40965040 53254552 66568190 81930080 106509104 133136380 163860160 213018208 266272760 426036416 532545520 1065091040 2130182080