[go: up one dir, main page]

Search a number
-
+
2130432040 = 23511231311607
BaseRepresentation
bin111111011111011…
…1101000000101000
312111110210011100101
41332332331000220
513330342311130
6551222315144
7103536242062
oct17676750050
95443704311
102130432040
119a3634140
124b5588ab4
1327c4b4699
14162d2c732
15c70791ca
hex7efbd028

2130432040 has 128 divisors (see below), whose sum is σ = 5501675520. Its totient is φ = 734905600.

The previous prime is 2130432023. The next prime is 2130432077. The reversal of 2130432040 is 402340312.

It is a junction number, because it is equal to n+sod(n) for n = 2130431999 and 2130432017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324917 + ... + 1326523.

It is an arithmetic number, because the mean of its divisors is an integer number (42981840).

Almost surely, 22130432040 is an apocalyptic number.

2130432040 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 2130432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750837760).

2130432040 is an abundant number, since it is smaller than the sum of its proper divisors (3371243480).

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

2130432040 is a wasteful number, since it uses less digits than its factorization.

2130432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2130432040 is about 46156.6034278953. The cubic root of 2130432040 is about 1286.7353380741.

Adding to 2130432040 its reverse (402340312), we get a palindrome (2532772352).

The spelling of 2130432040 in words is "two billion, one hundred thirty million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 131 184 220 230 253 262 440 460 506 524 655 920 1012 1048 1265 1310 1441 1607 2024 2530 2620 2882 3013 3214 5060 5240 5764 6026 6428 7205 8035 10120 11528 12052 12856 14410 15065 16070 17677 24104 28820 30130 32140 33143 35354 36961 57640 60260 64280 66286 70708 73922 88385 120520 132572 141416 147844 165715 176770 184805 210517 265144 295688 331430 353540 369610 406571 421034 662860 707080 739220 813142 842068 1052585 1325720 1478440 1626284 1684136 2032855 2105170 2315687 3252568 4065710 4210340 4631374 4841891 8131420 8420680 9262748 9683782 11578435 16262840 18525496 19367564 23156870 24209455 38735128 46313740 48418910 53260801 92627480 96837820 106521602 193675640 213043204 266304005 426086408 532608010 1065216020 2130432040