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630140040 = 233352712153
BaseRepresentation
bin100101100011110…
…010110010001000
31121220201102122000
4211203302302020
52242303440130
6142310031000
721421046655
oct4543626210
91556642560
10630140040
112a37745a2
12157048460
13a071c53a
145d990c2c
153a4c3260
hex258f2c88

630140040 has 128 divisors (see below), whose sum is σ = 2109196800. Its totient is φ = 167339520.

The previous prime is 630140023. The next prime is 630140041. The reversal of 630140040 is 40041036.

It is a super-2 number, since 2×6301400402 = 794152940022403200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 630139995 and 630140022.

It is not an unprimeable number, because it can be changed into a prime (630140041) 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 31 ways as a sum of consecutive naturals, for example, 291604 + ... + 293756.

It is an arithmetic number, because the mean of its divisors is an integer number (16478100).

Almost surely, 2630140040 is an apocalyptic number.

630140040 is a gapful number since it is divisible by the number (60) 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 630140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054598400).

630140040 is an abundant number, since it is smaller than the sum of its proper divisors (1479056760).

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

630140040 is a wasteful number, since it uses less digits than its factorization.

630140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 630140040 is about 25102.5903045881. The cubic root of 630140040 is about 857.3254025492.

Adding to 630140040 its reverse (40041036), we get a palindrome (670181076).

The spelling of 630140040 in words is "six hundred thirty million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 271 360 540 542 813 1080 1084 1355 1626 2153 2168 2439 2710 3252 4065 4306 4878 5420 6459 6504 7317 8130 8612 9756 10765 10840 12195 12918 14634 16260 17224 19377 19512 21530 24390 25836 29268 32295 32520 36585 38754 43060 48780 51672 58131 58536 64590 73170 77508 86120 96885 97560 116262 129180 146340 155016 193770 232524 258360 290655 292680 387540 465048 581310 583463 775080 1162620 1166926 1750389 2325240 2333852 2917315 3500778 4667704 5251167 5834630 7001556 8751945 10502334 11669260 14003112 15753501 17503890 21004668 23338520 26255835 31507002 35007780 42009336 52511670 63014004 70015560 78767505 105023340 126028008 157535010 210046680 315070020 630140040