Search a number
-
+
138530816 = 212311091
BaseRepresentation
bin10000100000111…
…01000000000000
3100122200002112222
420100131000000
5240430441231
621425110212
73301330634
oct1020350000
9318602488
10138530816
1171219286
123a488368
13229146c8
1414580dc4
15c26627b
hex841d000

138530816 has 52 divisors (see below), whose sum is σ = 286226304. Its totient is φ = 66969600.

The previous prime is 138530809. The next prime is 138530827. The reversal of 138530816 is 618035831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126431 + ... + 127521.

It is an arithmetic number, because the mean of its divisors is an integer number (5504352).

Almost surely, 2138530816 is an apocalyptic number.

138530816 is a gapful number since it is divisible by the number (16) 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 138530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113152).

138530816 is an abundant number, since it is smaller than the sum of its proper divisors (147695488).

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

138530816 is an equidigital number, since it uses as much as digits as its factorization.

138530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 138530816 is about 11769.9114695056. The cubic root of 138530816 is about 517.4266550273.

The spelling of 138530816 in words is "one hundred thirty-eight million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1091 1984 2048 2182 3968 4096 4364 7936 8728 15872 17456 31744 33821 34912 63488 67642 69824 126976 135284 139648 270568 279296 541136 558592 1082272 1117184 2164544 2234368 4329088 4468736 8658176 17316352 34632704 69265408 138530816