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64138206 = 23116189179
BaseRepresentation
bin1111010010101…
…0101111011110
311110200120002010
43310222233132
5112404410311
610210412050
71406110566
oct364525736
9143616063
1064138206
1133227a90
1219591026
1310398702
148737da6
15596dda6
hex3d2abde

64138206 has 64 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 18796800.

The previous prime is 64138189. The next prime is 64138211. The reversal of 64138206 is 60283146.

It is a super-2 number, since 2×641382062 = 8227418937796872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358225 + ... + 358403.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 264138206 is an apocalyptic number.

64138206 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64138206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

64138206 is an abundant number, since it is smaller than the sum of its proper divisors (80495394).

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

64138206 is a wasteful number, since it uses less digits than its factorization.

64138206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 64138206 is about 8008.6332167231. The cubic root of 64138206 is about 400.2877221569.

The spelling of 64138206 in words is "sixty-four million, one hundred thirty-eight thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 61 66 89 122 178 179 183 267 358 366 534 537 671 979 1074 1342 1958 1969 2013 2937 3938 4026 5429 5874 5907 10858 10919 11814 15931 16287 21838 31862 32574 32757 47793 59719 65514 95586 119438 120109 175241 179157 240218 350482 358314 360327 525723 720654 971791 1051446 1943582 2915373 5830746 10689701 21379402 32069103 64138206