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104123024 = 2423523541
BaseRepresentation
bin1100011010011…
…00101010010000
321020220222221022
412031030222100
5203123414044
614155415012
72403013445
oct615145220
9236828838
10104123024
1153858195
122aa54468
1318758375
14db859cc
15921b3ee
hex634ca90

104123024 has 40 divisors (see below), whose sum is σ = 211301952. Its totient is φ = 49610880.

The previous prime is 104122999. The next prime is 104123029. The reversal of 104123024 is 420321401.

It is a junction number, because it is equal to n+sod(n) for n = 104122993 and 104123011.

It is not an unprimeable number, because it can be changed into a prime (104123029) 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 7 ways as a sum of consecutive naturals, for example, 192194 + ... + 192734.

Almost surely, 2104123024 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 104123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105650976).

104123024 is an abundant number, since it is smaller than the sum of its proper divisors (107178928).

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

104123024 is a wasteful number, since it uses less digits than its factorization.

104123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104123024 is about 10204.0689923187. The cubic root of 104123024 is about 470.4522943467.

Adding to 104123024 its reverse (420321401), we get a palindrome (524444425).

The spelling of 104123024 in words is "one hundred four million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 523 541 1046 1082 2092 2164 4184 4328 8368 8656 12029 12443 24058 24886 48116 49772 96232 99544 192464 199088 282943 565886 1131772 2263544 4527088 6507689 13015378 26030756 52061512 104123024