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136892140 = 22571128081
BaseRepresentation
bin10000010100011…
…00111011101100
3100112120211201021
420022030323230
5240021022030
621330023524
73251364310
oct1012147354
9315524637
10136892140
11702aa100
1239a17ba4
132248c888
1414275b40
15c04097a
hex828ceec

136892140 has 72 divisors (see below), whose sum is σ = 361168416. Its totient is φ = 42662400.

The previous prime is 136892117. The next prime is 136892141. The reversal of 136892140 is 41298631.

It is a junction number, because it is equal to n+sod(n) for n = 136892096 and 136892105.

It is not an unprimeable number, because it can be changed into a prime (136892141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12900 + ... + 20980.

It is an arithmetic number, because the mean of its divisors is an integer number (5016228).

Almost surely, 2136892140 is an apocalyptic number.

136892140 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 136892140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180584208).

136892140 is an abundant number, since it is smaller than the sum of its proper divisors (224276276).

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

136892140 is a wasteful number, since it uses less digits than its factorization.

136892140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 136892140 is about 11700.0914526340. The cubic root of 136892140 is about 515.3783501817.

The spelling of 136892140 in words is "one hundred thirty-six million, eight hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8081 8470 16162 16940 32324 40405 56567 80810 88891 113134 161620 177782 226268 282835 355564 444455 565670 622237 888910 977801 1131340 1244474 1777820 1955602 2488948 3111185 3911204 4889005 6222370 6844607 9778010 12444740 13689214 19556020 27378428 34223035 68446070 136892140