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133325400 = 233521317093
BaseRepresentation
bin1111111001001…
…10001001011000
3100021212122001210
413330212021120
5233112403100
621121343120
73206150535
oct774461130
9307778053
10133325400
116929338a
1238797aa0
1321811290
14139c7d8c
15ba88c50
hex7f26258

133325400 has 96 divisors (see below), whose sum is σ = 445127760. Its totient is φ = 32816640.

The previous prime is 133325371. The next prime is 133325419. The reversal of 133325400 is 4523331.

133325400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747 + ... + 16346.

Almost surely, 2133325400 is an apocalyptic number.

133325400 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 133325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222563880).

133325400 is an abundant number, since it is smaller than the sum of its proper divisors (311802360).

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

133325400 is a wasteful number, since it uses less digits than its factorization.

133325400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17125 (or 17116 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 133325400 is about 11546.6618552723. The cubic root of 133325400 is about 510.8628224145.

Adding to 133325400 its reverse (4523331), we get a palindrome (137848731).

The spelling of 133325400 in words is "one hundred thirty-three million, three hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 17093 34186 51279 68372 85465 102558 136744 170930 205116 222209 256395 341860 410232 427325 444418 512790 666627 683720 854650 888836 1025580 1111045 1281975 1333254 1709300 1777672 2051160 2222090 2563950 2666508 3333135 3418600 4444180 5127900 5333016 5555225 6666270 8888360 10255800 11110450 13332540 16665675 22220900 26665080 33331350 44441800 66662700 133325400