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138818085 = 35719149467
BaseRepresentation
bin10000100011000…
…11001000100101
3100200012200121120
420101203020211
5241014134320
621435204153
73303635310
oct1021431045
9320180546
10138818085
11713a509a
123a5a6659
13229b53a3
1414617977
15c2c1440
hex8463225

138818085 has 64 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 59588352.

The previous prime is 138818083. The next prime is 138818101. The reversal of 138818085 is 580818831.

It is not a de Polignac number, because 138818085 - 21 = 138818083 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138818083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297022 + ... + 297488.

It is an arithmetic number, because the mean of its divisors is an integer number (4212000).

Almost surely, 2138818085 is an apocalyptic number.

138818085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138818085 is a deficient number, since it is larger than the sum of its proper divisors (130749915).

138818085 is a wasteful number, since it uses less digits than its factorization.

138818085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 61440, while the sum is 42.

The square root of 138818085 is about 11782.1086822351. The cubic root of 138818085 is about 517.7840677093.

The spelling of 138818085 in words is "one hundred thirty-eight million, eight hundred eighteen thousand, eighty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 149 285 399 447 467 665 745 1043 1401 1995 2235 2335 2831 3129 3269 5215 7005 8493 8873 9807 14155 15645 16345 19817 26619 42465 44365 49035 59451 62111 69583 99085 133095 186333 208749 297255 310555 347915 487081 931665 1043745 1322077 1461243 2435405 3966231 6610385 7306215 9254539 19831155 27763617 46272695 138818085