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133263460 = 225111035881
BaseRepresentation
bin1111111000101…
…11000001100100
3100021202111002201
413330113001210
5233103412320
621120144244
73205502131
oct774270144
9307674081
10133263460
11692508a0
1238768084
13217bc025
14139ad588
15ba7570a
hex7f17064

133263460 has 48 divisors (see below), whose sum is σ = 308310912. Its totient is φ = 47980800.

The previous prime is 133263443. The next prime is 133263461. The reversal of 133263460 is 64362331.

It is not an unprimeable number, because it can be changed into a prime (133263461) 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, 19720 + ... + 25600.

It is an arithmetic number, because the mean of its divisors is an integer number (6423144).

Almost surely, 2133263460 is an apocalyptic number.

133263460 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 133263460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154155456).

133263460 is an abundant number, since it is smaller than the sum of its proper divisors (175047452).

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

133263460 is a wasteful number, since it uses less digits than its factorization.

133263460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 133263460 is about 11543.9793832110. The cubic root of 133263460 is about 510.7836983449.

The spelling of 133263460 in words is "one hundred thirty-three million, two hundred sixty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 5881 11330 11762 22660 23524 29405 58810 64691 117620 129382 258764 323455 605743 646910 1211486 1293820 2422972 3028715 6057430 6663173 12114860 13326346 26652692 33315865 66631730 133263460