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4104415420 = 2257217592381
BaseRepresentation
bin1111010010100100…
…0110100010111100
3101121001011220110221
43310221012202330
531401212243140
61515135511124
7203465645500
oct36451064274
911531156427
104104415420
111816921066
129666884a4
1350544cba1
142ad174300
151904ed14a
hexf4a468bc

4104415420 has 72 divisors (see below), whose sum is σ = 10036414080. Its totient is φ = 1405837440.

The previous prime is 4104415411. The next prime is 4104415429. The reversal of 4104415420 is 245144014.

4104415420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4104415411) and next prime (4104415429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104415429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722630 + ... + 1725010.

It is an arithmetic number, because the mean of its divisors is an integer number (139394640).

Almost surely, 24104415420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018207040).

4104415420 is an abundant number, since it is smaller than the sum of its proper divisors (5931998660).

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

4104415420 is a wasteful number, since it uses less digits than its factorization.

4104415420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4104415420 is about 64065.7117341250. The cubic root of 4104415420 is about 1601.0950082396.

Adding to 4104415420 its reverse (245144014), we get a palindrome (4349559434).

The spelling of 4104415420 in words is "four billion, one hundred four million, four hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1759 2381 3518 4762 7036 8795 9524 11905 12313 16667 17590 23810 24626 33334 35180 47620 49252 61565 66668 83335 86191 116669 123130 166670 172382 233338 246260 333340 344764 430955 466676 583345 861910 1166690 1723820 2333380 4188179 8376358 16752716 20940895 29317253 41881790 58634506 83763580 117269012 146586265 205220771 293172530 410441542 586345060 820883084 1026103855 2052207710 4104415420