Search a number
-
+
2013180 = 2235132989
BaseRepresentation
bin111101011011111111100
310210021120020
413223133330
51003410210
6111052140
723053221
oct7533774
93707506
102013180
111155594
12811050
13556440
143a5948
1529b770
hex1eb7fc

2013180 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 473088.

The previous prime is 2013173. The next prime is 2013181. The reversal of 2013180 is 813102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22576 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22013180 is an apocalyptic number.

2013180 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 2013180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2013180 is an abundant number, since it is smaller than the sum of its proper divisors (4337220).

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

2013180 is a wasteful number, since it uses less digits than its factorization.

2013180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2013180 is about 1418.8657441774. The cubic root of 2013180 is about 126.2682619075.

Adding to 2013180 its reverse (813102), we get a palindrome (2826282).

The spelling of 2013180 in words is "two million, thirteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 89 116 130 145 156 174 178 195 260 267 290 348 356 377 390 435 445 534 580 754 780 870 890 1068 1131 1157 1335 1508 1740 1780 1885 2262 2314 2581 2670 3471 3770 4524 4628 5162 5340 5655 5785 6942 7540 7743 10324 11310 11570 12905 13884 15486 17355 22620 23140 25810 30972 33553 34710 38715 51620 67106 69420 77430 100659 134212 154860 167765 201318 335530 402636 503295 671060 1006590 2013180