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630207540 = 22345733
BaseRepresentation
bin100101100100000…
…011010000110100
31121220211212020000
4211210003100310
52242313120130
6142311311300
721421450524
oct4544032064
91556755200
10630207540
112a3810286
1215707b530
13a0744191
145d9ab684
153a4d8260
hex25903434

630207540 has 120 divisors (see below), whose sum is σ = 2004442440. Its totient is φ = 165753216.

The previous prime is 630207533. The next prime is 630207541. The reversal of 630207540 is 45702036.

It is a happy number.

630207540 is a `hidden beast` number, since 630 + 20 + 7 + 5 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 629608464 = 774^2 + 25092^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1095 × 657 × 876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630207541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8632944 + ... + 8633016.

It is an arithmetic number, because the mean of its divisors is an integer number (16703687).

Almost surely, 2630207540 is an apocalyptic number.

630207540 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 630207540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002221220).

630207540 is an abundant number, since it is smaller than the sum of its proper divisors (1374234900).

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

630207540 is an frugal number, since it uses more digits than its factorization.

630207540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 83 counting only the distinct ones).

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

The square root of 630207540 is about 25103.9347513492. The cubic root of 630207540 is about 857.3560134160.

Adding to 630207540 its reverse (45702036), we get a palindrome (675909576).

The spelling of 630207540 in words is "six hundred thirty million, two hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 73 81 90 108 135 146 162 180 219 270 292 324 365 405 438 540 657 730 810 876 1095 1314 1460 1620 1971 2190 2628 3285 3942 4380 5329 5913 6570 7884 9855 10658 11826 13140 15987 19710 21316 23652 26645 29565 31974 39420 47961 53290 59130 63948 79935 95922 106580 118260 143883 159870 191844 239805 287766 319740 389017 431649 479610 575532 719415 778034 863298 959220 1167051 1438830 1556068 1726596 1945085 2158245 2334102 2877660 3501153 3890170 4316490 4668204 5835255 7002306 7780340 8632980 10503459 11670510 14004612 17505765 21006918 23341020 31510377 35011530 42013836 52517295 63020754 70023060 105034590 126041508 157551885 210069180 315103770 630207540