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2132002320 = 243571269049
BaseRepresentation
bin111111100010011…
…1100011000010000
312111120201221100220
41333010330120100
513331243033240
6551320113040
7103555502130
oct17704743020
95446657326
102132002320
119a4506998
124b6005780
1327c914346
1416321aac0
15c72895d0
hex7f13c610

2132002320 has 80 divisors (see below), whose sum is σ = 7553385600. Its totient is φ = 487314432.

The previous prime is 2132002289. The next prime is 2132002321. The reversal of 2132002320 is 232002312.

It is a tau number, because it is divible by the number of its divisors (80).

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 2132002320.

It is not an unprimeable number, because it can be changed into a prime (2132002321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632845 + ... + 636204.

It is an arithmetic number, because the mean of its divisors is an integer number (94417320).

Almost surely, 22132002320 is an apocalyptic number.

2132002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132002320 is an abundant number, since it is smaller than the sum of its proper divisors (5421383280).

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

2132002320 is a wasteful number, since it uses less digits than its factorization.

2132002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269072 (or 1269066 counting only the distinct ones).

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

The square root of 2132002320 is about 46173.6106450427. The cubic root of 2132002320 is about 1287.0513989334.

Adding to 2132002320 its reverse (232002312), we get a palindrome (2364004632).

The spelling of 2132002320 in words is "two billion, one hundred thirty-two million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1269049 2538098 3807147 5076196 6345245 7614294 8883343 10152392 12690490 15228588 17766686 19035735 20304784 25380980 26650029 30457176 35533372 38071470 44416715 50761960 53300058 60914352 71066744 76142940 88833430 101523920 106600116 133250145 142133488 152285880 177666860 213200232 266500290 304571760 355333720 426400464 533000580 710667440 1066001160 2132002320