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2132023320 = 2332572120863
BaseRepresentation
bin111111100010100…
…0001100000011000
312111120210000011200
41333011001200120
513331244221240
6551320354200
7103555620300
oct17705014030
95446700150
102132023320
119a4520749
124b6015960
1327c920a7b
14163224600
15c7290930
hex7f141818

2132023320 has 144 divisors (see below), whose sum is σ = 8060420160. Its totient is φ = 487315584.

The previous prime is 2132023303. The next prime is 2132023331. The reversal of 2132023320 is 233202312.

It is a happy number.

2132023320 is a `hidden beast` number, since 2 + 1 + 320 + 23 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132023293 and 2132023302.

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 35 ways as a sum of consecutive naturals, for example, 42792 + ... + 78071.

It is an arithmetic number, because the mean of its divisors is an integer number (55975140).

Almost surely, 22132023320 is an apocalyptic number.

2132023320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132023320 is an abundant number, since it is smaller than the sum of its proper divisors (5928396840).

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

2132023320 is a wasteful number, since it uses less digits than its factorization.

2132023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120894 (or 120880 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2132023320 is about 46173.8380471020. The cubic root of 2132023320 is about 1287.0556246934.

Adding to 2132023320 its reverse (233202312), we get a palindrome (2365225632).

The spelling of 2132023320 in words is "two billion, one hundred thirty-two million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 120863 241726 362589 483452 604315 725178 846041 966904 1087767 1208630 1450356 1692082 1812945 2175534 2417260 2538123 2900712 3384164 3625890 4230205 4351068 4834520 5076246 5438835 5922287 6768328 7251780 7614369 8460410 8702136 10152492 10877670 11844574 12690615 14503560 15228738 16920820 17766861 20304984 21755340 23689148 25381230 29611435 30457476 33841640 35533722 38071845 43510680 47378296 50762460 53300583 59222870 60914952 71067444 76143690 88834305 101524920 106601166 118445740 142134888 152287380 177668610 213202332 236891480 266502915 304574760 355337220 426404664 533005830 710674440 1066011660 2132023320