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4104212240 = 245291799883
BaseRepresentation
bin1111010010100001…
…0100111100010000
3101121000210120202202
43310220110330100
531401134242430
61515131302332
7203464141232
oct36450247420
911530716682
104104212240
1118167a2447
129665aa9a8
135053ab56b
142ad120252
151904acd45
hexf4a14f10

4104212240 has 80 divisors (see below), whose sum is σ = 9927489600. Its totient is φ = 1576060416.

The previous prime is 4104212237. The next prime is 4104212257. The reversal of 4104212240 is 422124014.

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

It is a super-2 number, since 2×41042122402 = 33689116221931635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410339 + ... + 420221.

It is an arithmetic number, because the mean of its divisors is an integer number (124093620).

Almost surely, 24104212240 is an apocalyptic number.

4104212240 is a gapful number since it is divisible by the number (40) 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 4104212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963744800).

4104212240 is an abundant number, since it is smaller than the sum of its proper divisors (5823277360).

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

4104212240 is a wasteful number, since it uses less digits than its factorization.

4104212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4104212240 is about 64064.1259988771. The cubic root of 4104212240 is about 1601.0685882489.

Adding to 4104212240 its reverse (422124014), we get a palindrome (4526336254).

The spelling of 4104212240 in words is "four billion, one hundred four million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 179 232 290 358 464 580 716 895 1160 1432 1790 2320 2864 3580 5191 7160 9883 10382 14320 19766 20764 25955 39532 41528 49415 51910 79064 83056 98830 103820 158128 197660 207640 286607 395320 415280 573214 790640 1146428 1433035 1769057 2292856 2866070 3538114 4585712 5732140 7076228 8845285 11464280 14152456 17690570 22928560 28304912 35381140 51302653 70762280 102605306 141524560 205210612 256513265 410421224 513026530 820842448 1026053060 2052106120 4104212240