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130289000 = 23531131153
BaseRepresentation
bin1111100010000…
…00110101101000
3100002011100220112
413301000311220
5231323222000
620532313452
73141303212
oct761006550
9302140815
10130289000
11675aa066
1237772888
1320cba1aa
14134375b2
15b689235
hex7c40d68

130289000 has 64 divisors (see below), whose sum is σ = 307841040. Its totient is φ = 51609600.

The previous prime is 130288979. The next prime is 130289039. The reversal of 130289000 is 982031.

It can be written as a sum of positive squares in 8 ways, for example, as 9604 + 130279396 = 98^2 + 11414^2 .

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, 112424 + ... + 113576.

Almost surely, 2130289000 is an apocalyptic number.

130289000 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 130289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153920520).

130289000 is an abundant number, since it is smaller than the sum of its proper divisors (177552040).

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

130289000 is a wasteful number, since it uses less digits than its factorization.

130289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 130289000 is about 11414.4207036538. The cubic root of 130289000 is about 506.9548126289.

The spelling of 130289000 in words is "one hundred thirty million, two hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 1153 2260 2306 2825 4520 4612 5650 5765 9224 11300 11530 14125 22600 23060 28250 28825 46120 56500 57650 113000 115300 130289 144125 230600 260578 288250 521156 576500 651445 1042312 1153000 1302890 2605780 3257225 5211560 6514450 13028900 16286125 26057800 32572250 65144500 130289000