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1412010630 = 234531531061
BaseRepresentation
bin101010000101001…
…1001001010000110
310122101221120110000
41110022121022012
510342433320010
6352040142130
746663615032
oct12412311206
93571846400
101412010630
11665052538
12334a67946
131966c5564
14d575b1c2
1583e687c0
hex54299286

1412010630 has 160 divisors (see below), whose sum is σ = 3996926208. Its totient is φ = 357177600.

The previous prime is 1412010601. The next prime is 1412010653. The reversal of 1412010630 is 360102141.

It is a happy number.

1412010630 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 10 + 630 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1330300 + ... + 1331360.

Almost surely, 21412010630 is an apocalyptic number.

1412010630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412010630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998463104).

1412010630 is an abundant number, since it is smaller than the sum of its proper divisors (2584915578).

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

1412010630 is a wasteful number, since it uses less digits than its factorization.

1412010630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1412010630 is about 37576.7299002987. The cubic root of 1412010630 is about 1121.8789225634.

Adding to 1412010630 its reverse (360102141), we get a palindrome (1772112771).

The spelling of 1412010630 in words is "one billion, four hundred twelve million, ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 53 54 62 81 90 93 106 135 155 159 162 186 265 270 279 310 318 405 465 477 530 558 795 810 837 930 954 1061 1395 1431 1590 1643 1674 2122 2385 2511 2790 2862 3183 3286 4185 4293 4770 4929 5022 5305 6366 7155 8215 8370 8586 9549 9858 10610 12555 14310 14787 15915 16430 19098 21465 24645 25110 28647 29574 31830 32891 42930 44361 47745 49290 56233 57294 65782 73935 85941 88722 95490 98673 112466 133083 143235 147870 164455 168699 171882 197346 221805 266166 281165 286470 296019 328910 337398 429705 443610 493365 506097 562330 592038 665415 843495 859410 888057 986730 1012194 1330830 1480095 1518291 1686990 1743223 1776114 2530485 2664171 2960190 3036582 3486446 4440285 4554873 5060970 5229669 5328342 7591455 8716115 8880570 9109746 10459338 13320855 15182910 15689007 17432230 22774365 26148345 26641710 31378014 45548730 47067021 52296690 78445035 94134042 141201063 156890070 235335105 282402126 470670210 706005315 1412010630