Search a number
-
+
2813130 = 234523151
BaseRepresentation
bin1010101110110011001010
312021220220000
422232303022
51210010010
6140143430
732624355
oct12566312
95256800
102813130
111651601
12b37b76
13776598
1453329c
153a87c0
hex2aecca

2813130 has 80 divisors (see below), whose sum is σ = 7945344. Its totient is φ = 712800.

The previous prime is 2813123. The next prime is 2813131. The reversal of 2813130 is 313182.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2813131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18555 + ... + 18705.

22813130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972672).

2813130 is an abundant number, since it is smaller than the sum of its proper divisors (5132214).

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

2813130 is a wasteful number, since it uses less digits than its factorization.

2813130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

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

The square root of 2813130 is about 1677.2388023177. The cubic root of 2813130 is about 141.1659431488.

The spelling of 2813130 in words is "two million, eight hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 151 162 207 230 270 302 345 405 414 453 621 690 755 810 906 1035 1242 1359 1510 1863 2070 2265 2718 3105 3473 3726 4077 4530 6210 6795 6946 8154 9315 10419 12231 13590 17365 18630 20385 20838 24462 31257 34730 40770 52095 61155 62514 93771 104190 122310 156285 187542 281313 312570 468855 562626 937710 1406565 2813130