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123424104 = 23341432917
BaseRepresentation
bin1110101101101…
…00110101101000
322121020121001010
413112310311220
5223044032404
620125223520
73026042016
oct726646550
9277217033
10123424104
11637403a1
1235401ba0
131c75561b
141256b8b6
15ac80189
hex75b4d68

123424104 has 64 divisors (see below), whose sum is σ = 323547840. Its totient is φ = 39191040.

The previous prime is 123424099. The next prime is 123424109. The reversal of 123424104 is 401424321.

It is an interprime number because it is at equal distance from previous prime (123424099) and next prime (123424109).

It is not an unprimeable number, because it can be changed into a prime (123424109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40854 + ... + 43770.

It is an arithmetic number, because the mean of its divisors is an integer number (5055435).

Almost surely, 2123424104 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 123424104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161773920).

123424104 is an abundant number, since it is smaller than the sum of its proper divisors (200123736).

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

123424104 is a wasteful number, since it uses less digits than its factorization.

123424104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 123424104 is about 11109.6401381863. The cubic root of 123424104 is about 497.8899129252.

Adding to 123424104 its reverse (401424321), we get a palindrome (524848425).

The spelling of 123424104 in words is "one hundred twenty-three million, four hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1763 2917 3526 5289 5834 7052 8751 10578 11668 14104 17502 21156 23336 35004 42312 70008 119597 125431 239194 250862 358791 376293 478388 501724 717582 752586 956776 1003448 1435164 1505172 2870328 3010344 5142671 10285342 15428013 20570684 30856026 41141368 61712052 123424104