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630075024 = 2434539173
BaseRepresentation
bin100101100011100…
…010111010010000
31121220121010110000
4211203202322100
52242244400044
6142304410000
721420356265
oct4543427220
91556533400
10630075024
112a372a767
12157016900
13a06c8a77
145d97526c
153a4add69
hex258e2e90

630075024 has 100 divisors (see below), whose sum is σ = 1858230396. Its totient is φ = 206039808.

The previous prime is 630075011. The next prime is 630075071. The reversal of 630075024 is 420570036.

It is a happy number.

630075024 is a `hidden beast` number, since 630 + 0 + 7 + 5 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194100624 + 435974400 = 13932^2 + 20880^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 64102 + ... + 73274.

Almost surely, 2630075024 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 630075024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929115198).

630075024 is an abundant number, since it is smaller than the sum of its proper divisors (1228155372).

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

630075024 is a wasteful number, since it uses less digits than its factorization.

630075024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 630075024 is about 25101.2952653842. The cubic root of 630075024 is about 857.2959160954.

The spelling of 630075024 in words is "six hundred thirty million, seventy-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 9173 11448 17172 18346 22896 27519 34344 36692 55038 68688 73384 82557 110076 146768 165114 220152 247671 330228 440304 486169 495342 660456 743013 972338 990684 1320912 1458507 1486026 1944676 1981368 2917014 2972052 3889352 3962736 4375521 5834028 5944104 7778704 8751042 11668056 11888208 13126563 17502084 23336112 26253126 35004168 39379689 52506252 70008336 78759378 105012504 157518756 210025008 315037512 630075024