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2012310240 = 25354499337
BaseRepresentation
bin111011111110001…
…0110101011100000
312012020111221200220
41313330112223200
513110122411430
6531402443040
7100603232463
oct16774265340
95166457626
102012310240
11942995516
12481b03480
13260b97625
141513812da
15bb9e5110
hex77f16ae0

2012310240 has 96 divisors (see below), whose sum is σ = 6353575200. Its totient is φ = 535363584.

The previous prime is 2012310221. The next prime is 2012310263. The reversal of 2012310240 is 420132102.

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 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, 210852 + ... + 220188.

It is an arithmetic number, because the mean of its divisors is an integer number (66183075).

Almost surely, 22012310240 is an apocalyptic number.

2012310240 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 2012310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176787600).

2012310240 is an abundant number, since it is smaller than the sum of its proper divisors (4341264960).

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

2012310240 is a wasteful number, since it uses less digits than its factorization.

2012310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2012310240 is about 44858.7810801854. The cubic root of 2012310240 is about 1262.5007527362.

Adding to 2012310240 its reverse (420132102), we get a palindrome (2432442342).

The spelling of 2012310240 in words is "two billion, twelve million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 449 480 898 1347 1796 2245 2694 3592 4490 5388 6735 7184 8980 9337 10776 13470 14368 17960 18674 21552 26940 28011 35920 37348 43104 46685 53880 56022 71840 74696 93370 107760 112044 140055 149392 186740 215520 224088 280110 298784 373480 448176 560220 746960 896352 1120440 1493920 2240880 4192313 4481760 8384626 12576939 16769252 20961565 25153878 33538504 41923130 50307756 62884695 67077008 83846260 100615512 125769390 134154016 167692520 201231024 251538780 335385040 402462048 503077560 670770080 1006155120 2012310240