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124342420 = 225172291597
BaseRepresentation
bin1110110100101…
…01000010010100
322122222020201211
413122111002110
5223312424140
620201031204
73036615226
oct732250224
9278866654
10124342420
1164208334
1235785504
131c9b75c7
141272a416
15adb22ea
hex7695094

124342420 has 48 divisors (see below), whose sum is σ = 277860240. Its totient is φ = 46577664.

The previous prime is 124342417. The next prime is 124342429. The reversal of 124342420 is 24243421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3825936 + 120516484 = 1956^2 + 10978^2 .

It is a super-2 number, since 2×1243424202 = 30922074822912800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124342391 and 124342400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124342429) 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, 77062 + ... + 78658.

It is an arithmetic number, because the mean of its divisors is an integer number (5788755).

Almost surely, 2124342420 is an apocalyptic number.

124342420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138930120).

124342420 is an abundant number, since it is smaller than the sum of its proper divisors (153517820).

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

124342420 is a wasteful number, since it uses less digits than its factorization.

124342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 124342420 is about 11150.8932377635. The cubic root of 124342420 is about 499.1216846945.

Adding to 124342420 its reverse (24243421), we get a palindrome (148585841).

The spelling of 124342420 in words is "one hundred twenty-four million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 1597 2290 3194 3893 4580 6388 7786 7985 15572 15970 19465 27149 31940 38930 54298 77860 108596 135745 271490 365713 542980 731426 1462852 1828565 3657130 6217121 7314260 12434242 24868484 31085605 62171210 124342420