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133978941 = 349771693
BaseRepresentation
bin1111111110001…
…01101100111101
3100100002211120000
413333011230331
5233244311231
621143344513
73214542105
oct777055475
9310084500
10133978941
116969a3a8
1238a52139
13219ac8a5
1413b18205
15bb676e6
hex7fc5b3d

133978941 has 20 divisors (see below), whose sum is σ = 200464572. Its totient is φ = 89175168.

The previous prime is 133978919. The next prime is 133978963. The reversal of 133978941 is 149879331.

It is an interprime number because it is at equal distance from previous prime (133978919) and next prime (133978963).

It can be written as a sum of positive squares in 2 ways, for example, as 93605625 + 40373316 = 9675^2 + 6354^2 .

It is not a de Polignac number, because 133978941 - 211 = 133976893 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133973941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78291 + ... + 79983.

Almost surely, 2133978941 is an apocalyptic number.

It is an amenable number.

133978941 is a deficient number, since it is larger than the sum of its proper divisors (66485631).

133978941 is an equidigital number, since it uses as much as digits as its factorization.

133978941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2673 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 133978941 is about 11574.9272567909. The cubic root of 133978941 is about 511.6961863849.

The spelling of 133978941 in words is "one hundred thirty-three million, nine hundred seventy-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 27 81 977 1693 2931 5079 8793 15237 26379 45711 79137 137133 1654061 4962183 14886549 44659647 133978941