Search a number
-
+
130003650 = 23352713757
BaseRepresentation
bin1111011111110…
…11001011000010
3100001121212111000
413233323023002
5231240104100
620522232430
73136004250
oct757731302
9301555430
10130003650
1167424737
1237655716
1320c1a34a
14133a15d0
15b62e900
hex7bfb2c2

130003650 has 96 divisors (see below), whose sum is σ = 409438080. Its totient is φ = 29712960.

The previous prime is 130003631. The next prime is 130003667. The reversal of 130003650 is 56300031.

130003650 is a `hidden beast` number, since 1 + 300 + 0 + 365 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2572 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (4264980).

Almost surely, 2130003650 is an apocalyptic number.

130003650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130003650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204719040).

130003650 is an abundant number, since it is smaller than the sum of its proper divisors (279434430).

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

130003650 is a wasteful number, since it uses less digits than its factorization.

130003650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130003650 is about 11401.9143129564. The cubic root of 130003650 is about 506.5844429322.

Adding to 130003650 its reverse (56300031), we get a palindrome (186303681).

The spelling of 130003650 in words is "one hundred thirty million, three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 9450 13757 27514 41271 68785 82542 96299 123813 137570 192598 206355 247626 288897 343925 371439 412710 481495 577794 619065 687850 742878 866691 962990 1031775 1238130 1444485 1733382 1857195 2063550 2407475 2600073 2888970 3095325 3714390 4333455 4814950 5200146 6190650 7222425 8666910 9285975 13000365 14444850 18571950 21667275 26000730 43334550 65001825 130003650