Search a number
-
+
104912184 = 233133110847
BaseRepresentation
bin1100100000011…
…01010100111000
321022102002110110
412100031110320
5203324142214
614224344320
72412511266
oct620152470
9238362413
10104912184
1154247093
122b1750a0
1318973620
14dd0d436
159325159
hex640d538

104912184 has 64 divisors (see below), whose sum is σ = 291594240. Its totient is φ = 31236480.

The previous prime is 104912183. The next prime is 104912189. The reversal of 104912184 is 481219401.

It is a super-2 number, since 2×1049121842 = 22013132703299712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104912183) by changing a digit.

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, 4249 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (4556160).

Almost surely, 2104912184 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 104912184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145797120).

104912184 is an abundant number, since it is smaller than the sum of its proper divisors (186682056).

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

104912184 is a wasteful number, since it uses less digits than its factorization.

104912184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 104912184 is about 10242.6648876159. The cubic root of 104912184 is about 471.6378410272.

It can be divided in two parts, 10 and 4912184, that added together give a palindrome (4912194).

The spelling of 104912184 in words is "one hundred four million, nine hundred twelve thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 10847 21694 32541 43388 65082 86776 130164 141011 260328 282022 336257 423033 564044 672514 846066 1008771 1128088 1345028 1692132 2017542 2690056 3384264 4035084 4371341 8070168 8742682 13114023 17485364 26228046 34970728 52456092 104912184