Search a number
-
+
138532812 = 2231110110391
BaseRepresentation
bin10000100000111…
…01011111001100
3100122200012021220
420100131133030
5240431022222
621425123340
73301336515
oct1020353714
9318605256
10138532812
117121a830
123a489550
13229155a2
1414581a0c
15c266b5c
hex841d7cc

138532812 has 48 divisors (see below), whose sum is σ = 356154624. Its totient is φ = 41560000.

The previous prime is 138532789. The next prime is 138532843. The reversal of 138532812 is 218235831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8137 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (7419888).

Almost surely, 2138532812 is an apocalyptic number.

138532812 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 138532812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178077312).

138532812 is an abundant number, since it is smaller than the sum of its proper divisors (217621812).

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

138532812 is a wasteful number, since it uses less digits than its factorization.

138532812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10508 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 138532812 is about 11769.9962616816. The cubic root of 138532812 is about 517.4291401029.

The spelling of 138532812 in words is "one hundred thirty-eight million, five hundred thirty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 10391 13332 20782 31173 41564 62346 114301 124692 228602 342903 457204 685806 1049491 1371612 2098982 3148473 4197964 6296946 11544401 12593892 23088802 34633203 46177604 69266406 138532812