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130533000 = 23353133347
BaseRepresentation
bin1111100011111…
…00011010001000
3100002121202121120
413301330122020
5231404024000
620541435240
73143340453
oct761743210
9302552546
10130533000
1167756414
123786bb20
1321074280
141349c49a
15b6d66a0
hex7c7c688

130533000 has 128 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 32121600.

The previous prime is 130532999. The next prime is 130533001. The reversal of 130533000 is 335031.

130533000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130532999) and next prime (130533001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (130533001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37327 + ... + 40673.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2130533000 is an apocalyptic number.

130533000 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 130533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

130533000 is an abundant number, since it is smaller than the sum of its proper divisors (308188920).

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

130533000 is a wasteful number, since it uses less digits than its factorization.

130533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 130533000 is about 11425.1039382581. The cubic root of 130533000 is about 507.2710834737.

Adding to 130533000 its reverse (335031), we get a palindrome (130868031).

The spelling of 130533000 in words is "one hundred thirty million, five hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3347 3900 4875 6500 6694 7800 9750 10041 13000 13388 16735 19500 20082 26776 33470 39000 40164 43511 50205 66940 80328 83675 87022 100410 130533 133880 167350 174044 200820 217555 251025 261066 334700 348088 401640 418375 435110 502050 522132 652665 669400 836750 870220 1004100 1044264 1087775 1255125 1305330 1673500 1740440 2008200 2175550 2510250 2610660 3263325 3347000 4351100 5020500 5221320 5438875 6526650 8702200 10041000 10877750 13053300 16316625 21755500 26106600 32633250 43511000 65266500 130533000