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5106010600 = 2352198316189
BaseRepresentation
bin1001100000101011…
…11000100111101000
3111011211212012202201
410300111320213220
540424114314400
62202355305544
7240350242165
oct46025704750
914154765681
105106010600
112190234379
12ba5bab2b4
13634ac8162
143661b906c
151ed3e706a
hex1305789e8

5106010600 has 96 divisors (see below), whose sum is σ = 12647628000. Its totient is φ = 1911479040.

The previous prime is 5106010561. The next prime is 5106010601. The reversal of 5106010600 is 60106015.

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

It is not an unprimeable number, because it can be changed into a prime (5106010601) 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, 307306 + ... + 323494.

It is an arithmetic number, because the mean of its divisors is an integer number (131746125).

Almost surely, 25106010600 is an apocalyptic number.

5106010600 is a gapful number since it is divisible by the number (50) 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 5106010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323814000).

5106010600 is an abundant number, since it is smaller than the sum of its proper divisors (7541617400).

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

5106010600 is a wasteful number, since it uses less digits than its factorization.

5106010600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16307 (or 16298 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 5106010600 is about 71456.3545109880. The cubic root of 5106010600 is about 1721.9765676366.

Adding to 5106010600 its reverse (60106015), we get a palindrome (5166116615).

The spelling of 5106010600 in words is "five billion, one hundred six million, ten thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 83 95 100 152 166 190 200 332 380 415 475 664 760 830 950 1577 1660 1900 2075 3154 3320 3800 4150 6308 7885 8300 12616 15770 16189 16600 31540 32378 39425 63080 64756 78850 80945 129512 157700 161890 307591 315400 323780 404725 615182 647560 809450 1230364 1343687 1537955 1618900 2460728 2687374 3075910 3237800 5374748 6151820 6718435 7689775 10749496 12303640 13436870 15379550 25530053 26873740 30759100 33592175 51060106 53747480 61518200 67184350 102120212 127650265 134368700 204240424 255300530 268737400 510601060 638251325 1021202120 1276502650 2553005300 5106010600