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124342020 = 22335113173
BaseRepresentation
bin1110110100101…
…00111100000100
322122222020012000
413122110330010
5223312421040
620201025300
73036614115
oct732247404
9278866160
10124342020
1164208000
1235785230
131c9b737a
141272a20c
15adb2130
hex7694f04

124342020 has 192 divisors, whose sum is σ = 427956480. Its totient is φ = 29969280.

The previous prime is 124342013. The next prime is 124342027. The reversal of 124342020 is 20243421.

124342020 is a `hidden beast` number, since 1 + 243 + 420 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (124342013) and next prime (124342027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 124341984 and 124342002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124342027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718654 + ... + 718826.

It is an arithmetic number, because the mean of its divisors is an integer number (2228940).

Almost surely, 2124342020 is an apocalyptic number.

124342020 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 124342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213978240).

124342020 is an abundant number, since it is smaller than the sum of its proper divisors (303614460).

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

124342020 is a wasteful number, since it uses less digits than its factorization.

124342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 124342020 is about 11150.8753019662. The cubic root of 124342020 is about 499.1211494819.

Adding to 124342020 its reverse (20243421), we get a palindrome (144585441).

The spelling of 124342020 in words is "one hundred twenty-four million, three hundred forty-two thousand, twenty".