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138220812 = 223217713181
BaseRepresentation
bin10000011110100…
…01010100001100
3100122002100022100
420033101110030
5240341031222
621414315100
73265600062
oct1017212414
9318070270
10138220812
1171027384
123a358a90
1322836582
1414500032
15c2044ac
hex83d150c

138220812 has 72 divisors (see below), whose sum is σ = 375272352. Its totient is φ = 42739200.

The previous prime is 138220787. The next prime is 138220837. The reversal of 138220812 is 218022831.

It is an interprime number because it is at equal distance from previous prime (138220787) and next prime (138220837).

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 23 ways as a sum of consecutive naturals, for example, 41862 + ... + 45042.

It is an arithmetic number, because the mean of its divisors is an integer number (5212116).

Almost surely, 2138220812 is an apocalyptic number.

138220812 is a gapful number since it is divisible by the number (12) 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 138220812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187636176).

138220812 is an abundant number, since it is smaller than the sum of its proper divisors (237051540).

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

138220812 is a wasteful number, since it uses less digits than its factorization.

138220812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138220812 is about 11756.7347507716. The cubic root of 138220812 is about 517.0404012988.

The spelling of 138220812 in words is "one hundred thirty-eight million, two hundred twenty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 852 1207 1278 2414 2556 3181 3621 4828 6362 7242 9543 10863 12724 14484 19086 21726 28629 38172 43452 54077 57258 108154 114516 162231 216308 225851 324462 451702 486693 648924 677553 903404 973386 1355106 1946772 2032659 2710212 3839467 4065318 7678934 8130636 11518401 15357868 23036802 34555203 46073604 69110406 138220812