Search a number
-
+
906087138 = 231123358921
BaseRepresentation
bin110110000000011…
…100101011100010
32100010221222212220
4312000130223202
53323424242023
6225524331510
731311420315
oct6600345342
92303858786
10906087138
1142550a750
12213543b96
13115948248
14884a297c
15548303e3
hex3601cae2

906087138 has 32 divisors (see below), whose sum is σ = 1985435712. Its totient is φ = 273388800.

The previous prime is 906087121. The next prime is 906087151. The reversal of 906087138 is 831780609.

It is a super-3 number, since 3×9060871383 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 906087138.

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, 14083 + ... + 44838.

It is an arithmetic number, because the mean of its divisors is an integer number (62044866).

Almost surely, 2906087138 is an apocalyptic number.

906087138 is an abundant number, since it is smaller than the sum of its proper divisors (1079348574).

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

906087138 is a wasteful number, since it uses less digits than its factorization.

906087138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59170.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 906087138 is about 30101.2813348535. The cubic root of 906087138 is about 967.6611871474.

The spelling of 906087138 in words is "nine hundred six million, eighty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 233 466 699 1398 2563 5126 7689 15378 58921 117842 176763 353526 648131 1296262 1944393 3888786 13728593 27457186 41185779 82371558 151014523 302029046 453043569 906087138