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4102100240 = 245743170353
BaseRepresentation
bin1111010010000001…
…0001010100010000
3101120212211021122112
43310200101110100
531400114201430
61515014124452
7203440163630
oct36440212420
911525737575
104102100240
11181558a697
12965950728
13504b1c164
142acb306c0
151901e2195
hexf4811510

4102100240 has 80 divisors (see below), whose sum is σ = 11153417088. Its totient is φ = 1373718528.

The previous prime is 4102100237. The next prime is 4102100243. The reversal of 4102100240 is 420012014.

It is an interprime number because it is at equal distance from previous prime (4102100237) and next prime (4102100243).

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (4102100243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61097 + ... + 109256.

Almost surely, 24102100240 is an apocalyptic number.

4102100240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102100240 is an abundant number, since it is smaller than the sum of its proper divisors (7051316848).

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

4102100240 is a wasteful number, since it uses less digits than its factorization.

4102100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170416 (or 170410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4102100240 is about 64047.6403936944. The cubic root of 4102100240 is about 1600.7939080869.

Adding to 4102100240 its reverse (420012014), we get a palindrome (4522112254).

The spelling of 4102100240 in words is "four billion, one hundred two million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 170353 340706 681412 851765 1192471 1362824 1703530 2384942 2725648 3407060 4769884 5962355 6814120 7325179 9539768 11924710 13628240 14650358 19079536 23849420 29300716 36625895 47698840 51276253 58601432 73251790 95397680 102552506 117202864 146503580 205105012 256381265 293007160 410210024 512762530 586014320 820420048 1025525060 2051050120 4102100240