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2103193728 = 27334114843
BaseRepresentation
bin111110101011100…
…0011000010000000
312102120112022102000
41331113003002000
513301404144403
6544410424000
7103055565066
oct17527030200
95376468360
102103193728
1198a21a639
124a8432000
1327696873c
1415d47c036
15c49987a3
hex7d5c3080

2103193728 has 128 divisors (see below), whose sum is σ = 6359169600. Its totient is φ = 683919360.

The previous prime is 2103193721. The next prime is 2103193789. The reversal of 2103193728 is 8273913012.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 2103193692 and 2103193701.

It is not an unprimeable number, because it can be changed into a prime (2103193721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134275 + ... + 149117.

Almost surely, 22103193728 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 2103193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179584800).

2103193728 is an abundant number, since it is smaller than the sum of its proper divisors (4255975872).

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

2103193728 is a wasteful number, since it uses less digits than its factorization.

2103193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14907 (or 14889 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2103193728 is about 45860.5901401192. The cubic root of 2103193728 is about 1281.2280141918.

The spelling of 2103193728 in words is "two billion, one hundred three million, one hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8856 11808 14843 15744 17712 23616 29686 35424 44529 47232 59372 70848 89058 118744 133587 141696 178116 237488 267174 356232 400761 474976 534348 608563 712464 801522 949952 1068696 1217126 1424928 1603044 1825689 1899904 2137392 2434252 2849856 3206088 3651378 4274784 4868504 5477067 5699712 6412176 7302756 8549568 9737008 10954134 12824352 14605512 16431201 17099136 19474016 21908268 25648704 29211024 32862402 38948032 43816536 51297408 58422048 65724804 77896064 87633072 116844096 131449608 175266144 233688192 262899216 350532288 525798432 701064576 1051596864 2103193728