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2110013440 = 214543599
BaseRepresentation
bin111110111000100…
…0100000000000000
312110001100210021221
41331301010000000
513310130412230
6545212524424
7103200550453
oct17561040000
95401323257
102110013440
11993058367
124aa780714
132781b5882
1416033549a
15c539427a
hex7dc44000

2110013440 has 120 divisors (see below), whose sum is σ = 5190292800. Its totient is φ = 823001088.

The previous prime is 2110013431. The next prime is 2110013443. The reversal of 2110013440 is 443100112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110013443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3522261 + ... + 3522859.

It is an arithmetic number, because the mean of its divisors is an integer number (43252440).

Almost surely, 22110013440 is an apocalyptic number.

2110013440 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 2110013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595146400).

2110013440 is an abundant number, since it is smaller than the sum of its proper divisors (3080279360).

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

2110013440 is an frugal number, since it uses more digits than its factorization.

2110013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2110013440 is about 45934.8826057061. The cubic root of 2110013440 is about 1282.6113356424.

Adding to 2110013440 its reverse (443100112), we get a palindrome (2553113552).

The spelling of 2110013440 in words is "two billion, one hundred ten million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 599 640 688 860 1024 1198 1280 1376 1720 2048 2396 2560 2752 2995 3440 4096 4792 5120 5504 5990 6880 8192 9584 10240 11008 11980 13760 16384 19168 20480 22016 23960 25757 27520 38336 40960 44032 47920 51514 55040 76672 81920 88064 95840 103028 110080 128785 153344 176128 191680 206056 220160 257570 306688 352256 383360 412112 440320 515140 613376 704512 766720 824224 880640 1030280 1226752 1533440 1648448 1761280 2060560 2453504 3066880 3296896 3522560 4121120 4907008 6133760 6593792 8242240 9814016 12267520 13187584 16484480 24535040 26375168 32968960 49070080 52750336 65937920 105500672 131875840 211001344 263751680 422002688 527503360 1055006720 2110013440