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6103104 = 263719239
BaseRepresentation
bin10111010010000001000000
3102111001212220
4113102001000
53030244404
6334451040
7102606210
oct27220100
912431786
106103104
113499397
122063a80
131358c07
14b4c240
158084d9
hex5d2040

6103104 has 112 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 1645056.

The previous prime is 6103103. The next prime is 6103117. The reversal of 6103104 is 4013016.

6103104 = T792 + T793 + ... + T810.

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

It is not an unprimeable number, because it can be changed into a prime (6103103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25417 + ... + 25655.

Almost surely, 26103104 is an apocalyptic number.

6103104 is a gapful number since it is divisible by the number (64) 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 6103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

6103104 is an abundant number, since it is smaller than the sum of its proper divisors (13404096).

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

6103104 is a wasteful number, since it uses less digits than its factorization.

6103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6103104 is about 2470.4461135592. The cubic root of 6103104 is about 182.7470002620.

The spelling of 6103104 in words is "six million, one hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 239 266 304 336 399 448 456 478 532 608 672 717 798 912 956 1064 1216 1344 1434 1596 1673 1824 1912 2128 2868 3192 3346 3648 3824 4256 4541 5019 5736 6384 6692 7648 8512 9082 10038 11472 12768 13384 13623 15296 18164 20076 22944 25536 26768 27246 31787 36328 40152 45888 53536 54492 63574 72656 80304 95361 107072 108984 127148 145312 160608 190722 217968 254296 290624 321216 381444 435936 508592 762888 871872 1017184 1525776 2034368 3051552 6103104