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4103193960 = 2332537330557
BaseRepresentation
bin1111010010010001…
…1100010101101000
3101120221212211221200
43310210130111220
531400404201320
61515053404200
7203452400415
oct36444342550
911527784850
104103193960
111816167398
12966199660
13505112c28
142acd3710c
1519035b290
hexf491c568

4103193960 has 96 divisors (see below), whose sum is σ = 13371569640. Its totient is φ = 1091215872.

The previous prime is 4103193923. The next prime is 4103193971. The reversal of 4103193960 is 693913014.

It can be written as a sum of positive squares in 4 ways, for example, as 2397669156 + 1705524804 = 48966^2 + 41298^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119002 + ... + 149558.

Almost surely, 24103193960 is an apocalyptic number.

4103193960 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 4103193960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685784820).

4103193960 is an abundant number, since it is smaller than the sum of its proper divisors (9268375680).

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

4103193960 is a wasteful number, since it uses less digits than its factorization.

4103193960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30947 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 4103193960 is about 64056.1781563652. The cubic root of 4103193960 is about 1600.9361656810.

The spelling of 4103193960 in words is "four billion, one hundred three million, one hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 373 746 1119 1492 1865 2238 2984 3357 3730 4476 5595 6714 7460 8952 11190 13428 14920 16785 22380 26856 30557 33570 44760 61114 67140 91671 122228 134280 152785 183342 244456 275013 305570 366684 458355 550026 611140 733368 916710 1100052 1222280 1375065 1833420 2200104 2750130 3666840 5500260 11000520 11397761 22795522 34193283 45591044 56988805 68386566 91182088 102579849 113977610 136773132 170966415 205159698 227955220 273546264 341932830 410319396 455910440 512899245 683865660 820638792 1025798490 1367731320 2051596980 4103193960