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138041610 = 23574315287
BaseRepresentation
bin10000011101001…
…01100100001010
3100121202020111020
420032211210022
5240314312420
621410413310
73264222450
oct1016454412
9317666436
10138041610
1170a14783
123a291236
13227a2b35
14144949d0
15c1bb340
hex83a590a

138041610 has 64 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 30816576.

The previous prime is 138041587. The next prime is 138041623. The reversal of 138041610 is 16140831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2138041610 is an apocalyptic number.

138041610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138041610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

138041610 is an abundant number, since it is smaller than the sum of its proper divisors (249417462).

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

138041610 is a wasteful number, since it uses less digits than its factorization.

138041610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 138041610 is about 11749.1110302014. Note that the first 3 decimals coincide. The cubic root of 138041610 is about 516.8168586367.

The spelling of 138041610 in words is "one hundred thirty-eight million, forty-one thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 4515 9030 15287 30574 45861 76435 91722 107009 152870 214018 229305 321027 458610 535045 642054 657341 1070090 1314682 1605135 1972023 3210270 3286705 3944046 4601387 6573410 9202774 9860115 13804161 19720230 23006935 27608322 46013870 69020805 138041610