Search a number
-
+
130425600 = 283526793
BaseRepresentation
bin1111100011000…
…10001100000000
3100002102022021210
413301202030000
5231342104400
620535250120
73142412364
oct761421400
9302368253
10130425600
1167692758
1237819940
1321037416
14134712a4
15b6b4950
hex7c62300

130425600 has 108 divisors (see below), whose sum is σ = 430495016. Its totient is φ = 34775040.

The previous prime is 130425553. The next prime is 130425613. The reversal of 130425600 is 6524031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15804 + ... + 22596.

Almost surely, 2130425600 is an apocalyptic number.

130425600 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 130425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215247508).

130425600 is an abundant number, since it is smaller than the sum of its proper divisors (300069416).

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

130425600 is an equidigital number, since it uses as much as digits as its factorization.

130425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 130425600 is about 11420.4027949981. The cubic root of 130425600 is about 507.1319210572.

Adding to 130425600 its reverse (6524031), we get a palindrome (136949631).

The spelling of 130425600 in words is "one hundred thirty million, four hundred twenty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 6793 9600 13586 19200 20379 27172 33965 40758 54344 67930 81516 101895 108688 135860 163032 169825 203790 217376 271720 326064 339650 407580 434752 509475 543440 652128 679300 815160 869504 1018950 1086880 1304256 1358600 1630320 1739008 2037900 2173760 2608512 2717200 3260640 4075800 4347520 5217024 5434400 6521280 8151600 8695040 10868800 13042560 16303200 21737600 26085120 32606400 43475200 65212800 130425600