Search a number
-
+
1013406210 = 232517662357
BaseRepresentation
bin111100011001110…
…101101000000010
32121121220100222100
4330121311220002
54033412444320
6244320451230
734053545025
oct7431655002
92547810870
101013406210
114800500a3
12243479b16
13131c5225b
149883b1bc
155de7d790
hex3c675a02

1013406210 has 48 divisors (see below), whose sum is σ = 2789851896. Its totient is φ = 254344704.

The previous prime is 1013406187. The next prime is 1013406223. The reversal of 1013406210 is 126043101.

It is a happy number.

1013406210 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 40 + 621 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 683874801 + 329531409 = 26151^2 + 18153^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329649 + ... + 332708.

Almost surely, 21013406210 is an apocalyptic number.

1013406210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013406210 is an abundant number, since it is smaller than the sum of its proper divisors (1776445686).

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

1013406210 is a wasteful number, since it uses less digits than its factorization.

1013406210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662387 (or 662384 counting only the distinct ones).

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

The square root of 1013406210 is about 31834.0416849636. The cubic root of 1013406210 is about 1004.4489144744.

Adding to 1013406210 its reverse (126043101), we get a palindrome (1139449311).

The spelling of 1013406210 in words is "one billion, thirteen million, four hundred six thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 662357 1324714 1987071 3311785 3974142 5961213 6623570 9935355 11260069 11922426 19870710 22520138 29806065 33780207 56300345 59612130 67560414 101340621 112600690 168901035 202681242 337802070 506703105 1013406210