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136904040 = 233357213199
BaseRepresentation
bin10000010100011…
…11110101101000
3100112121110001000
420022033311220
5240021412130
621330155000
73251444100
oct1012176550
9315543030
10136904040
1170308039
1239a22a60
1322495110
141427a200
15c044260
hex828fd68

136904040 has 384 divisors, whose sum is σ = 574560000. Its totient is φ = 28740096.

The previous prime is 136904023. The next prime is 136904059. The reversal of 136904040 is 40409631.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136903995 and 136904013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687861 + ... + 688059.

It is an arithmetic number, because the mean of its divisors is an integer number (1496250).

Almost surely, 2136904040 is an apocalyptic number.

136904040 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 136904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280000).

136904040 is an abundant number, since it is smaller than the sum of its proper divisors (437655960).

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

136904040 is a wasteful number, since it uses less digits than its factorization.

136904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136904040 is about 11700.5999846162. The cubic root of 136904040 is about 515.3932836534.

136904040 divided by its sum of digits (27) gives a triangular number (5070520 = T3184).

The spelling of 136904040 in words is "one hundred thirty-six million, nine hundred four thousand, forty".