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124144020 = 2232571113253
BaseRepresentation
bin1110110011001…
…00100110010100
322122121011120200
413121210212110
5223240102040
620152500500
73035130630
oct731444624
9278534520
10124144020
1164092270
12356aa730
131c948200
14126b7dc0
15ad73630
hex7664994

124144020 has 432 divisors, whose sum is σ = 517974912. Its totient is φ = 23362560.

The previous prime is 124144003. The next prime is 124144021. The reversal of 124144020 is 20441421.

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 = 124143984 and 124144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124144021) 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 143 ways as a sum of consecutive naturals, for example, 2342314 + ... + 2342366.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2124144020 is an apocalyptic number.

124144020 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 124144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258987456).

124144020 is an abundant number, since it is smaller than the sum of its proper divisors (393830892).

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

124144020 is a wasteful number, since it uses less digits than its factorization.

124144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 124144020 is about 11141.9935379626. The cubic root of 124144020 is about 498.8560782151.

Adding to 124144020 its reverse (20441421), we get a palindrome (144585441).

The spelling of 124144020 in words is "one hundred twenty-four million, one hundred forty-four thousand, twenty".