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133747104 = 2531997001
BaseRepresentation
bin1111111100011…
…01000110100000
3100022200001112110
413332031012200
5233214401404
621134355320
73212555151
oct776150640
9308601473
10133747104
11695511a7
123895bb40
132192b1ca
1413a97928
15bb1db89
hex7f8d1a0

133747104 has 48 divisors (see below), whose sum is σ = 352900800. Its totient is φ = 44352000.

The previous prime is 133747087. The next prime is 133747121. The reversal of 133747104 is 401747331.

It is an interprime number because it is at equal distance from previous prime (133747087) and next prime (133747121).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15604 + ... + 22604.

It is an arithmetic number, because the mean of its divisors is an integer number (7352100).

Almost surely, 2133747104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133747104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176450400).

133747104 is an abundant number, since it is smaller than the sum of its proper divisors (219153696).

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

133747104 is a wasteful number, since it uses less digits than its factorization.

133747104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 133747104 is about 11564.9083005444. The cubic root of 133747104 is about 511.4008698237.

The spelling of 133747104 in words is "one hundred thirty-three million, seven hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 3184 4776 6368 7001 9552 14002 19104 21003 28004 42006 56008 84012 112016 168024 224032 336048 672096 1393199 2786398 4179597 5572796 8359194 11145592 16718388 22291184 33436776 44582368 66873552 133747104