Search a number
-
+
630103530 = 235710329131
BaseRepresentation
bin100101100011101…
…001110111101010
31121220122120112210
4211203221313222
52242301303110
6142305145550
721420535350
oct4543516752
91556576483
10630103530
112a374a121
1215702b2b6
13a0708a34
145d9817d0
153a4b7520
hex258e9dea

630103530 has 64 divisors (see below), whose sum is σ = 1745123328. Its totient is φ = 142620480.

The previous prime is 630103511. The next prime is 630103571. The reversal of 630103530 is 35301036.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 630103497 and 630103506.

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 31 ways as a sum of consecutive naturals, for example, 7065 + ... + 36195.

It is an arithmetic number, because the mean of its divisors is an integer number (27267552).

Almost surely, 2630103530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630103530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872561664).

630103530 is an abundant number, since it is smaller than the sum of its proper divisors (1115019798).

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

630103530 is a wasteful number, since it uses less digits than its factorization.

630103530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29251.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 630103530 is about 25101.8630782657. The cubic root of 630103530 is about 857.3088445605.

Adding to 630103530 its reverse (35301036), we get a palindrome (665404566).

The spelling of 630103530 in words is "six hundred thirty million, one hundred three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 515 618 721 1030 1442 1545 2163 3090 3605 4326 7210 10815 21630 29131 58262 87393 145655 174786 203917 291310 407834 436965 611751 873930 1019585 1223502 2039170 3000493 3058755 6000986 6117510 9001479 15002465 18002958 21003451 30004930 42006902 45007395 63010353 90014790 105017255 126020706 210034510 315051765 630103530