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138058776 = 23333311931
BaseRepresentation
bin10000011101010…
…01110000011000
3100121210010001000
420032221300120
5240320340101
621411025000
73264323502
oct1016516030
9317703030
10138058776
1170a26669
123a29b160
13227aa8ab
141449ad72
15c1c1486
hex83a9c18

138058776 has 64 divisors (see below), whose sum is σ = 384854400. Its totient is φ = 45856800.

The previous prime is 138058759. The next prime is 138058859. The reversal of 138058776 is 677850831.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 70531 + ... + 72461.

It is an arithmetic number, because the mean of its divisors is an integer number (6013350).

Almost surely, 2138058776 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 138058776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192427200).

138058776 is an abundant number, since it is smaller than the sum of its proper divisors (246795624).

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

138058776 is a wasteful number, since it uses less digits than its factorization.

138058776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 138058776 is about 11749.8415308463. The cubic root of 138058776 is about 516.8382804637.

The spelling of 138058776 in words is "one hundred thirty-eight million, fifty-eight thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1931 1986 2648 2979 3862 3972 5793 5958 7724 7944 8937 11586 11916 15448 17379 17874 23172 23832 34758 35748 46344 52137 69516 71496 104274 139032 208548 417096 639161 1278322 1917483 2556644 3834966 5113288 5752449 7669932 11504898 15339864 17257347 23009796 34514694 46019592 69029388 138058776