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2121323240 = 2351726911597
BaseRepresentation
bin111111001110000…
…1101001011101000
312110211122101102102
41332130031023220
513321024320430
6550255152532
7103365643601
oct17634151350
95424571372
102121323240
11999482603
124b2515748
1327a64566a
14161a3ada8
15c637a345
hex7e70d2e8

2121323240 has 64 divisors (see below), whose sum is σ = 5072965200. Its totient is φ = 795578368.

The previous prime is 2121323221. The next prime is 2121323287. The reversal of 2121323240 is 423231212.

It can be written as a sum of positive squares in 8 ways, for example, as 1122384004 + 998939236 = 33502^2 + 31606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177122 + ... + 188718.

Almost surely, 22121323240 is an apocalyptic number.

2121323240 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 2121323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536482600).

2121323240 is an abundant number, since it is smaller than the sum of its proper divisors (2951641960).

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

2121323240 is a wasteful number, since it uses less digits than its factorization.

2121323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2121323240 is about 46057.8249595006. The cubic root of 2121323240 is about 1284.8988782230.

Adding to 2121323240 its reverse (423231212), we get a palindrome (2544554452).

The spelling of 2121323240 in words is "two billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 269 340 538 680 1076 1345 2152 2690 4573 5380 9146 10760 11597 18292 22865 23194 36584 45730 46388 57985 91460 92776 115970 182920 197149 231940 394298 463880 788596 985745 1577192 1971490 3119593 3942980 6239186 7885960 12478372 15597965 24956744 31195930 53033081 62391860 106066162 124783720 212132324 265165405 424264648 530330810 1060661620 2121323240