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2102399040 = 26357312857
BaseRepresentation
bin111110101010000…
…0001000001000000
312102112000221022010
41331110001001000
513301203232130
6544341412520
7103046045160
oct17524010100
95375027263
102102399040
11989827575
124a810a140
1327674ab01
1415d3125a0
15c488d0b0
hex7d501040

2102399040 has 112 divisors (see below), whose sum is σ = 7628729472. Its totient is φ = 480546816.

The previous prime is 2102399011. The next prime is 2102399041. The reversal of 2102399040 is 409932012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2102398989 and 2102399007.

It is not an unprimeable number, because it can be changed into a prime (2102399041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149709 + ... + 163148.

It is an arithmetic number, because the mean of its divisors is an integer number (68113656).

Almost surely, 22102399040 is an apocalyptic number.

2102399040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102399040 is an abundant number, since it is smaller than the sum of its proper divisors (5526330432).

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

2102399040 is a wasteful number, since it uses less digits than its factorization.

2102399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312884 (or 312874 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2102399040 is about 45851.9251504231. The cubic root of 2102399040 is about 1281.0666239562.

The spelling of 2102399040 in words is "two billion, one hundred two million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 312857 625714 938571 1251428 1564285 1877142 2189999 2502856 3128570 3754284 4379998 4692855 5005712 6257140 6569997 7508568 8759996 9385710 10011424 10949995 12514280 13139994 15017136 17519992 18771420 20022848 21899990 25028560 26279988 30034272 32849985 35039984 37542840 43799980 50057120 52559976 60068544 65699970 70079968 75085680 87599960 100114240 105119952 131399940 140159936 150171360 175199920 210239904 262799880 300342720 350399840 420479808 525599760 700799680 1051199520 2102399040