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2010314240 = 2951171389
BaseRepresentation
bin111011111010010…
…1111011000000000
312012002202112200222
41313310233120000
513104120023430
6531252002212
7100550250314
oct16764573000
95162675628
102010314240
11941851930
12481300368
13260648c6c
14150dc1b44
15bb74d9e5
hex77d2f600

2010314240 has 80 divisors (see below), whose sum is σ = 5258301840. Its totient is φ = 731013120.

The previous prime is 2010314237. The next prime is 2010314269. The reversal of 2010314240 is 424130102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7535 + ... + 63854.

It is an arithmetic number, because the mean of its divisors is an integer number (65728773).

Almost surely, 22010314240 is an apocalyptic number.

2010314240 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 2010314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629150920).

2010314240 is an abundant number, since it is smaller than the sum of its proper divisors (3247987600).

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

2010314240 is an equidigital number, since it uses as much as digits as its factorization.

2010314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71423 (or 71407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2010314240 is about 44836.5279654881. The cubic root of 2010314240 is about 1262.0831920163.

Adding to 2010314240 its reverse (424130102), we get a palindrome (2434444342).

It can be divided in two parts, 20103 and 14240, that added together give a palindrome (34343).

The spelling of 2010314240 in words is "two billion, ten million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 7040 14080 28160 71389 142778 285556 356945 571112 713890 785279 1142224 1427780 1570558 2284448 2855560 3141116 3926395 4568896 5711120 6282232 7852790 9137792 11422240 12564464 15705580 18275584 22844480 25128928 31411160 36551168 45688960 50257856 62822320 91377920 100515712 125644640 182755840 201031424 251289280 402062848 502578560 1005157120 2010314240