Search a number
-
+
1210230420 = 223572596977
BaseRepresentation
bin100100000100010…
…1010011010010100
310010100021002000220
41020020222122110
54434304333140
6320031234340
741663534400
oct11010523224
93110232026
101210230420
11571164033
122993789b0
13163966b99
14b6a34100
15713abbd0
hex4822a694

1210230420 has 144 divisors (see below), whose sum is σ = 4009279680. Its totient is φ = 271896576.

The previous prime is 1210230409. The next prime is 1210230443. The reversal of 1210230420 is 240320121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1210230420.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 169972 + ... + 176948.

It is an arithmetic number, because the mean of its divisors is an integer number (27842220).

Almost surely, 21210230420 is an apocalyptic number.

1210230420 is a gapful number since it is divisible by the number (10) 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 1210230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004639840).

1210230420 is an abundant number, since it is smaller than the sum of its proper divisors (2799049260).

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

1210230420 is a wasteful number, since it uses less digits than its factorization.

1210230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1210230420 is about 34788.3661588181. The cubic root of 1210230420 is about 1065.6698732634.

Adding to 1210230420 its reverse (240320121), we get a palindrome (1450550541).

The spelling of 1210230420 in words is "one billion, two hundred ten million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 59 60 70 84 98 105 118 140 147 177 196 210 236 245 294 295 354 413 420 490 588 590 708 735 826 885 980 1180 1239 1470 1652 1770 2065 2478 2891 2940 3540 4130 4956 5782 6195 6977 8260 8673 11564 12390 13954 14455 17346 20931 24780 27908 28910 34692 34885 41862 43365 48839 57820 69770 83724 86730 97678 104655 139540 146517 173460 195356 209310 244195 293034 341873 411643 418620 488390 586068 683746 732585 823286 976780 1025619 1234929 1367492 1465170 1646572 1709365 2051238 2058215 2469858 2881501 2930340 3418730 4102476 4116430 4939716 5128095 5763002 6174645 6837460 8232860 8644503 10256190 11526004 12349290 14407505 17289006 20170507 20512380 24698580 28815010 34578012 40341014 43222515 57630020 60511521 80682028 86445030 100852535 121023042 172890060 201705070 242046084 302557605 403410140 605115210 1210230420