Search a number
-
+
130556000 = 2553127257
BaseRepresentation
bin1111100100000…
…10000001100000
3100002122221011102
413302002001200
5231410243000
620542133532
73143464511
oct762020140
9302587142
10130556000
1167771723
12378812a8
1321081893
14134a6a08
15b6dd3d5
hex7c82060

130556000 has 96 divisors (see below), whose sum is σ = 324559872. Its totient is φ = 51609600.

The previous prime is 130555987. The next prime is 130556003. The reversal of 130556000 is 655031.

130556000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130556003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507872 + ... + 508128.

It is an arithmetic number, because the mean of its divisors is an integer number (3380832).

Almost surely, 2130556000 is an apocalyptic number.

130556000 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 130556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162279936).

130556000 is an abundant number, since it is smaller than the sum of its proper divisors (194003872).

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

130556000 is a wasteful number, since it uses less digits than its factorization.

130556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 130556000 is about 11426.1104493174. The cubic root of 130556000 is about 507.3008755562.

The spelling of 130556000 in words is "one hundred thirty million, five hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 257 400 500 508 514 635 800 1000 1016 1028 1270 1285 2000 2032 2056 2540 2570 3175 4000 4064 4112 5080 5140 6350 6425 8224 10160 10280 12700 12850 15875 20320 20560 25400 25700 31750 32125 32639 41120 50800 51400 63500 64250 65278 101600 102800 127000 128500 130556 163195 205600 254000 257000 261112 326390 508000 514000 522224 652780 815975 1028000 1044448 1305560 1631950 2611120 3263900 4079875 5222240 6527800 8159750 13055600 16319500 26111200 32639000 65278000 130556000