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133474080 = 2535278071
BaseRepresentation
bin1111111010010…
…10011100100000
3100022011012000110
413331022130200
5233132132310
621124451320
73210340155
oct775123440
9308135013
10133474080
1169385063
1238849b40
1321863b5c
1413a2622c
15bab7d20
hex7f4a720

133474080 has 48 divisors (see below), whose sum is σ = 420444864. Its totient is φ = 35592960.

The previous prime is 133474067. The next prime is 133474109. The reversal of 133474080 is 80474331.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 138556 + ... + 139515.

It is an arithmetic number, because the mean of its divisors is an integer number (8759268).

Almost surely, 2133474080 is an apocalyptic number.

133474080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133474080 is an abundant number, since it is smaller than the sum of its proper divisors (286970784).

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

133474080 is a wasteful number, since it uses less digits than its factorization.

133474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278089 (or 278081 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 133474080 is about 11553.0982857414. The cubic root of 133474080 is about 511.0526508786.

The spelling of 133474080 in words is "one hundred thirty-three million, four hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 278071 556142 834213 1112284 1390355 1668426 2224568 2780710 3336852 4171065 4449136 5561420 6673704 8342130 8898272 11122840 13347408 16684260 22245680 26694816 33368520 44491360 66737040 133474080