Search a number
-
+
412800030 = 233531149331
BaseRepresentation
bin11000100110101…
…101010000011110
31001202202102012000
4120212231100132
51321134100110
6104543423130
713141512426
oct3046552036
91052672160
10412800030
111a2018855
12b62b4aa6
13676a3796
143cb77486
15263911c0
hex189ad41e

412800030 has 128 divisors (see below), whose sum is σ = 1147392000. Its totient is φ = 105494400.

The previous prime is 412799977. The next prime is 412800053. The reversal of 412800030 is 30008214.

It is a happy number.

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 = 412799976 and 412800012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1246965 + ... + 1247295.

It is an arithmetic number, because the mean of its divisors is an integer number (8964000).

Almost surely, 2412800030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412800030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573696000).

412800030 is an abundant number, since it is smaller than the sum of its proper divisors (734591970).

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

412800030 is a wasteful number, since it uses less digits than its factorization.

412800030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412800030 is about 20317.4808970010. The cubic root of 412800030 is about 744.5832120629.

Adding to 412800030 its reverse (30008214), we get a palindrome (442808244).

The spelling of 412800030 in words is "four hundred twelve million, eight hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 149 155 186 270 279 298 310 331 447 465 558 662 745 837 894 930 993 1341 1395 1490 1655 1674 1986 2235 2682 2790 2979 3310 4023 4185 4470 4619 4965 5958 6705 8046 8370 8937 9238 9930 10261 13410 13857 14895 17874 20115 20522 23095 27714 29790 30783 40230 41571 44685 46190 49319 51305 61566 69285 83142 89370 92349 98638 102610 124713 138570 147957 153915 184698 207855 246595 249426 277047 295914 307830 415710 443871 461745 493190 554094 623565 739785 887742 923490 1247130 1331613 1385235 1479570 1528889 2219355 2663226 2770470 3057778 4438710 4586667 6658065 7644445 9173334 13316130 13760001 15288890 22933335 27520002 41280003 45866670 68800005 82560006 137600010 206400015 412800030