Search a number
-
+
130434720 = 25351320903
BaseRepresentation
bin1111100011001…
…00011010100000
3100002102202210120
413301210122200
5231342402340
620535400240
73142451103
oct761443240
9302382716
10130434720
1167699599
1237823080
132103b610
141347473a
15b6b74d0
hex7c646a0

130434720 has 96 divisors (see below), whose sum is σ = 442495872. Its totient is φ = 32105472.

The previous prime is 130434713. The next prime is 130434757. The reversal of 130434720 is 27434031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4212 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (4609332).

Almost surely, 2130434720 is an apocalyptic number.

130434720 is a gapful number since it is divisible by the number (10) 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 130434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221247936).

130434720 is an abundant number, since it is smaller than the sum of its proper divisors (312061152).

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

130434720 is a wasteful number, since it uses less digits than its factorization.

130434720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20934 (or 20926 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 130434720 is about 11420.8020734097. The cubic root of 130434720 is about 507.1437411685.

Adding to 130434720 its reverse (27434031), we get a palindrome (157868751).

The spelling of 130434720 in words is "one hundred thirty million, four hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 20903 41806 62709 83612 104515 125418 167224 209030 250836 271739 313545 334448 418060 501672 543478 627090 668896 815217 836120 1003344 1086956 1254180 1358695 1630434 1672240 2006688 2173912 2508360 2717390 3260868 3344480 4076085 4347824 5016720 5434780 6521736 8152170 8695648 10033440 10869560 13043472 16304340 21739120 26086944 32608680 43478240 65217360 130434720