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123142488 = 233742137
BaseRepresentation
bin1110101011100…
…00000101011000
322120201021201220
413111300011120
5223011024423
620115212040
73023460000
oct725600530
9276637656
10123142488
1163568857
12352a7020
131c6873a1
14124d7000
15ac269e3
hex7570158

123142488 has 80 divisors (see below), whose sum is σ = 359312280. Its totient is φ = 35167104.

The previous prime is 123142433. The next prime is 123142501. The reversal of 123142488 is 884241321.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56556 + ... + 58692.

Almost surely, 2123142488 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 123142488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179656140).

123142488 is an abundant number, since it is smaller than the sum of its proper divisors (236169792).

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

123142488 is an equidigital number, since it uses as much as digits as its factorization.

123142488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2149 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 123142488 is about 11096.9585022203. The cubic root of 123142488 is about 497.5109471258.

The spelling of 123142488 in words is "one hundred twenty-three million, one hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2137 2401 2744 4116 4274 4802 6411 7203 8232 8548 9604 12822 14406 14959 17096 19208 25644 28812 29918 44877 51288 57624 59836 89754 104713 119672 179508 209426 314139 359016 418852 628278 732991 837704 1256556 1465982 2198973 2513112 2931964 4397946 5130937 5863928 8795892 10261874 15392811 17591784 20523748 30785622 41047496 61571244 123142488