Search a number
-
+
2013673820 = 225315935477
BaseRepresentation
bin111100000000110…
…0011100101011100
312012100002020011212
41320001203211130
513111000030240
6531452003552
7100620642104
oct17001434534
95170066155
102013673820
11943736a44
124824605b8
13261254192
14151618204
15bbbb4165
hex7806395c

2013673820 has 48 divisors (see below), whose sum is σ = 4373284608. Its totient is φ = 778030080.

The previous prime is 2013673787. The next prime is 2013673843. The reversal of 2013673820 is 283763102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364922 + ... + 370398.

It is an arithmetic number, because the mean of its divisors is an integer number (91110096).

Almost surely, 22013673820 is an apocalyptic number.

2013673820 is a gapful number since it is divisible by the number (20) 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 2013673820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186642304).

2013673820 is an abundant number, since it is smaller than the sum of its proper divisors (2359610788).

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

2013673820 is a wasteful number, since it uses less digits than its factorization.

2013673820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2013673820 is about 44873.9770914057. The cubic root of 2013673820 is about 1262.7858532546.

The spelling of 2013673820 in words is "two billion, thirteen million, six hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 593 620 1186 2372 2965 5477 5930 10954 11860 18383 21908 27385 36766 54770 73532 91915 109540 169787 183830 339574 367660 679148 848935 1697870 3247861 3395740 6495722 12991444 16239305 32478610 64957220 100683691 201367382 402734764 503418455 1006836910 2013673820