Search a number
-
+
130213770 = 23529971543
BaseRepresentation
bin1111100001011…
…10011110001010
3100002000112201020
413300232132022
5231313320040
620530533310
73140540661
oct760563612
9302015636
10130213770
1167558595
1237737236
1320c91b8b
1413417dd8
15b671cd0
hex7c2e78a

130213770 has 64 divisors (see below), whose sum is σ = 326833920. Its totient is φ = 33159168.

The previous prime is 130213747. The next prime is 130213771. The reversal of 130213770 is 77312031.

It is a super-2 number, since 2×1302137702 = 33911251795225800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130213770.

It is not an unprimeable number, because it can be changed into a prime (130213771) 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, 83619 + ... + 85161.

It is an arithmetic number, because the mean of its divisors is an integer number (5106780).

Almost surely, 2130213770 is an apocalyptic number.

130213770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130213770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163416960).

130213770 is an abundant number, since it is smaller than the sum of its proper divisors (196620150).

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

130213770 is a wasteful number, since it uses less digits than its factorization.

130213770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 130213770 is about 11411.1248350020. The cubic root of 130213770 is about 506.8572204726.

The spelling of 130213770 in words is "one hundred thirty million, two hundred thirteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 97 145 174 194 290 291 435 485 582 870 970 1455 1543 2813 2910 3086 4629 5626 7715 8439 9258 14065 15430 16878 23145 28130 42195 44747 46290 84390 89494 134241 149671 223735 268482 299342 447470 449013 671205 748355 898026 1342410 1496710 2245065 4340459 4490130 8680918 13021377 21702295 26042754 43404590 65106885 130213770