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1210210040 = 2351322910163
BaseRepresentation
bin100100000100010…
…0101011011111000
310010100020001002002
41020020211123320
54434303210130
6320031000132
741663421104
oct11010453370
93110201062
101210210040
1157114a796
12299369048
1316395a820
14b6a2a904
15713a5b45
hex482256f8

1210210040 has 64 divisors (see below), whose sum is σ = 2945527200. Its totient is φ = 444851712.

The previous prime is 1210210019. The next prime is 1210210081. The reversal of 1210210040 is 400120121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113999 + ... + 124161.

Almost surely, 21210210040 is an apocalyptic number.

1210210040 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 1210210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472763600).

1210210040 is an abundant number, since it is smaller than the sum of its proper divisors (1735317160).

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

1210210040 is a wasteful number, since it uses less digits than its factorization.

1210210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1210210040 is about 34788.0732435701. The cubic root of 1210210040 is about 1065.6638913518.

Adding to 1210210040 its reverse (400120121), we get a palindrome (1610330161).

The spelling of 1210210040 in words is "one billion, two hundred ten million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 520 916 1145 1832 2290 2977 4580 5954 9160 10163 11908 14885 20326 23816 29770 40652 50815 59540 81304 101630 119080 132119 203260 264238 406520 528476 660595 1056952 1321190 2327327 2642380 4654654 5284760 9309308 11636635 18618616 23273270 30255251 46546540 60510502 93093080 121021004 151276255 242042008 302552510 605105020 1210210040