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123023104 = 282973227
BaseRepresentation
bin1110101010100…
…10111100000000
322120111012222021
413111102330000
5222443214404
620112451224
73022451641
oct725227400
9276435867
10123023104
1163497096
1235249b14
131c644c49
14124a56c8
15ac01454
hex7552f00

123023104 has 72 divisors (see below), whose sum is σ = 258647760. Its totient is φ = 58318848.

The previous prime is 123023093. The next prime is 123023107. The reversal of 123023104 is 401320321.

123023104 = 12622 + 12632 + ... + 13342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541839 + ... + 542065.

It is an arithmetic number, because the mean of its divisors is an integer number (3592330).

Almost surely, 2123023104 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 123023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129323880).

123023104 is an abundant number, since it is smaller than the sum of its proper divisors (135624656).

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

123023104 is an equidigital number, since it uses as much as digits as its factorization.

123023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 123023104 is about 11091.5780662627. The cubic root of 123023104 is about 497.3501197454.

Adding to 123023104 its reverse (401320321), we get a palindrome (524343425).

The spelling of 123023104 in words is "one hundred twenty-three million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 227 232 256 292 454 464 584 908 928 1168 1816 1856 2117 2336 3632 3712 4234 4672 6583 7264 7424 8468 9344 13166 14528 16571 16936 18688 26332 29056 33142 33872 52664 58112 66284 67744 105328 132568 135488 210656 265136 270976 421312 480559 530272 541952 842624 961118 1060544 1685248 1922236 2121088 3844472 4242176 7688944 15377888 30755776 61511552 123023104