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4104005320 = 2351911294783
BaseRepresentation
bin1111010010011110…
…0010011011001000
3101121000102001221001
43310213202123020
531401111132240
61515123024344
7203462320042
oct36447423310
911530361831
104104005320
111816670a38
1296650b0b4
1350533831c
142ad0a8a92
1519046b89a
hexf49e26c8

4104005320 has 64 divisors (see below), whose sum is σ = 9730656000. Its totient is φ = 1553499648.

The previous prime is 4104005317. The next prime is 4104005357. The reversal of 4104005320 is 235004014.

4104005320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 855649 + ... + 860431.

It is an arithmetic number, because the mean of its divisors is an integer number (152041500).

Almost surely, 24104005320 is an apocalyptic number.

4104005320 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 4104005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865328000).

4104005320 is an abundant number, since it is smaller than the sum of its proper divisors (5626650680).

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

4104005320 is a wasteful number, since it uses less digits than its factorization.

4104005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5942 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4104005320 is about 64062.5110341454. The cubic root of 4104005320 is about 1601.0416810407.

Adding to 4104005320 its reverse (235004014), we get a palindrome (4339009334).

The spelling of 4104005320 in words is "four billion, one hundred four million, five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1129 2258 4516 4783 5645 9032 9566 11290 19132 21451 22580 23915 38264 42902 45160 47830 85804 90877 95660 107255 171608 181754 191320 214510 363508 429020 454385 727016 858040 908770 1817540 3635080 5400007 10800014 21600028 27000035 43200056 54000070 102600133 108000140 205200266 216000280 410400532 513000665 820801064 1026001330 2052002660 4104005320