Search a number
-
+
138806536 = 23113789479
BaseRepresentation
bin10000100011000…
…00010100001000
3100200012002202211
420101200110020
5241013302121
621435034504
73303556531
oct1021402410
9320162684
10138806536
1171397450
123a59ba34
13229b005b
1414613688
15c2bcce1
hex8460508

138806536 has 64 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 60572160.

The previous prime is 138806509. The next prime is 138806617. The reversal of 138806536 is 635608831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289545 + ... + 290023.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2138806536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138806536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

138806536 is an abundant number, since it is smaller than the sum of its proper divisors (156681464).

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

138806536 is a wasteful number, since it uses less digits than its factorization.

138806536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 138806536 is about 11781.6185645267. The cubic root of 138806536 is about 517.7697082593.

The spelling of 138806536 in words is "one hundred thirty-eight million, eight hundred six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 89 148 178 296 356 407 479 712 814 958 979 1628 1916 1958 3256 3293 3832 3916 5269 6586 7832 10538 13172 17723 21076 26344 35446 36223 42152 42631 70892 72446 85262 141784 144892 170524 194953 289784 341048 389906 468941 779812 937882 1559624 1577347 1875764 3154694 3751528 6309388 12618776 17350817 34701634 69403268 138806536