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2102015040 = 26352189599
BaseRepresentation
bin111110101001010…
…0011010001000000
312102111022102112220
41331102203101000
513301103440130
6544325251040
7103042555506
oct17522432100
95374272486
102102015040
11989595014
124a7b63a80
132766450a8
1415d252676
15c4814410
hex7d4a3440

2102015040 has 56 divisors (see below), whose sum is σ = 6673900800. Its totient is φ = 560537088.

The previous prime is 2102015021. The next prime is 2102015059. The reversal of 2102015040 is 405102012.

It is an interprime number because it is at equal distance from previous prime (2102015021) and next prime (2102015059).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 1093840 + ... + 1095759.

It is an arithmetic number, because the mean of its divisors is an integer number (119176800).

Almost surely, 22102015040 is an apocalyptic number.

2102015040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102015040 is an abundant number, since it is smaller than the sum of its proper divisors (4571885760).

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

2102015040 is a wasteful number, since it uses less digits than its factorization.

2102015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189619 (or 2189609 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2102015040 is about 45847.7375668636. The cubic root of 2102015040 is about 1280.9886242478.

Adding to 2102015040 its reverse (405102012), we get a palindrome (2507117052).

The spelling of 2102015040 in words is "two billion, one hundred two million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2189599 4379198 6568797 8758396 10947995 13137594 17516792 21895990 26275188 32843985 35033584 43791980 52550376 65687970 70067168 87583960 105100752 131375940 140134336 175167920 210201504 262751880 350335840 420403008 525503760 700671680 1051007520 2102015040