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2002132320 = 25354788747
BaseRepresentation
bin111011101010110…
…0001110101100000
312011112100212012220
41313111201311200
513100021213240
6530400351040
7100420562316
oct16725416540
95145325186
102002132320
11938173711
1247a615480
1325ba42aa6
1414dc920b6
15bab845d0
hex77561d60

2002132320 has 96 divisors (see below), whose sum is σ = 6440974848. Its totient is φ = 522536448.

The previous prime is 2002132291. The next prime is 2002132361. The reversal of 2002132320 is 232312002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002132320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21814 + ... + 66933.

It is an arithmetic number, because the mean of its divisors is an integer number (67093488).

Almost surely, 22002132320 is an apocalyptic number.

2002132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002132320 is an abundant number, since it is smaller than the sum of its proper divisors (4438842528).

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

2002132320 is a wasteful number, since it uses less digits than its factorization.

2002132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88812 (or 88804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2002132320 is about 44745.1932613996. The cubic root of 2002132320 is about 1260.3686500036.

Adding to 2002132320 its reverse (232312002), we get a palindrome (2234444322).

The spelling of 2002132320 in words is "two billion, two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 88747 177494 266241 354988 443735 532482 709976 887470 1064964 1331205 1419952 1774940 2129928 2662410 2839904 3549880 4171109 4259856 5324820 7099760 8342218 8519712 10649640 12513327 14199520 16684436 20855545 21299280 25026654 33368872 41711090 42598560 50053308 62566635 66737744 83422180 100106616 125133270 133475488 166844360 200213232 250266540 333688720 400426464 500533080 667377440 1001066160 2002132320