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130534400 = 210525099
BaseRepresentation
bin1111100011111…
…00110000000000
3100002121211112102
413301330300000
5231404100100
620541445532
73143344523
oct761746000
9302554472
10130534400
1167757477
12378708a8
1321074ab9
141349cbba
15b6d6cd5
hex7c7cc00

130534400 has 66 divisors (see below), whose sum is σ = 323630700. Its totient is φ = 52203520.

The previous prime is 130534399. The next prime is 130534403. The reversal of 130534400 is 4435031.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (130534403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23051 + ... + 28149.

Almost surely, 2130534400 is an apocalyptic number.

130534400 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 130534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161815350).

130534400 is an abundant number, since it is smaller than the sum of its proper divisors (193096300).

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

130534400 is an equidigital number, since it uses as much as digits as its factorization.

130534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 130534400 is about 11425.1652066830. The cubic root of 130534400 is about 507.2728970048.

Adding to 130534400 its reverse (4435031), we get a palindrome (134969431).

The spelling of 130534400 in words is "one hundred thirty million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5099 5120 6400 10198 12800 20396 25495 25600 40792 50990 81584 101980 127475 163168 203960 254950 326336 407920 509900 652672 815840 1019800 1305344 1631680 2039600 2610688 3263360 4079200 5221376 6526720 8158400 13053440 16316800 26106880 32633600 65267200 130534400