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133682040 = 23325371339
BaseRepresentation
bin1111111011111…
…01001101111000
3100022112202021200
413331331031320
5233210311130
621133134200
73212164362
oct775751570
9308482250
10133682040
1169507328
123892a360
13219076cb
1413a7bd32
15bb09760
hex7f7d378

133682040 has 48 divisors (see below), whose sum is σ = 434467800. Its totient is φ = 35648448.

The previous prime is 133682009. The next prime is 133682047. The reversal of 133682040 is 40286331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133681995 and 133682013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133682047) 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 11 ways as a sum of consecutive naturals, for example, 185310 + ... + 186029.

Almost surely, 2133682040 is an apocalyptic number.

133682040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133682040 is an abundant number, since it is smaller than the sum of its proper divisors (300785760).

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

133682040 is a wasteful number, since it uses less digits than its factorization.

133682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371356 (or 371349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133682040 is about 11562.0949658788. The cubic root of 133682040 is about 511.3179292534.

The spelling of 133682040 in words is "one hundred thirty-three million, six hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 371339 742678 1114017 1485356 1856695 2228034 2970712 3342051 3713390 4456068 5570085 6684102 7426780 8912136 11140170 13368204 14853560 16710255 22280340 26736408 33420510 44560680 66841020 133682040