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630001020 = 2235112107811
BaseRepresentation
bin100101100011010…
…000110101111100
31121220110100221010
4211203100311330
52242240013040
6142303035220
721416630445
oct4543206574
91556410833
10630001020
112a368a100
12156b9bb10
13a06a118c
145d9562cc
153a496e80
hex258d0d7c

630001020 has 144 divisors (see below), whose sum is σ = 1959479424. Its totient is φ = 151113600.

The previous prime is 630001013. The next prime is 630001033. The reversal of 630001020 is 20100036.

630001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 630000987 and 630001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776415 + ... + 777225.

It is an arithmetic number, because the mean of its divisors is an integer number (13607496).

Almost surely, 2630001020 is an apocalyptic number.

630001020 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 630001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979739712).

630001020 is an abundant number, since it is smaller than the sum of its proper divisors (1329478404).

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

630001020 is a wasteful number, since it uses less digits than its factorization.

630001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 630001020 is about 25099.8211149004. The cubic root of 630001020 is about 857.2623508804.

Adding to 630001020 its reverse (20100036), we get a palindrome (650101056).

The spelling of 630001020 in words is "six hundred thirty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 121 132 165 214 220 242 321 330 363 428 484 535 605 642 660 726 811 1070 1177 1210 1284 1452 1605 1622 1815 2140 2354 2420 2433 3210 3244 3531 3630 4055 4708 4866 5885 6420 7062 7260 8110 8921 9732 11770 12165 12947 14124 16220 17655 17842 23540 24330 25894 26763 35310 35684 38841 44605 48660 51788 53526 64735 70620 77682 86777 89210 98131 107052 129470 133815 155364 173554 178420 194205 196262 258940 260331 267630 294393 347108 388410 392524 433885 490655 520662 535260 588786 776820 867770 954547 981310 1041324 1177572 1301655 1471965 1735540 1909094 1962620 2603310 2863641 2943930 3818188 4772735 5206620 5727282 5887860 9545470 10500017 11454564 14318205 19090940 21000034 28636410 31500051 42000068 52500085 57272820 63000102 105000170 126000204 157500255 210000340 315000510 630001020