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123424020 = 223353173101
BaseRepresentation
bin1110101101101…
…00110100010100
322121020120221000
413112310310110
5223044032040
620125223300
73026041536
oct726646424
9277216830
10123424020
1163740325
1235401b30
131c755585
141256b856
15ac80130
hex75b4d14

123424020 has 192 divisors, whose sum is σ = 405780480. Its totient is φ = 31104000.

The previous prime is 123424013. The next prime is 123424027. The reversal of 123424020 is 20424321.

It is an interprime number because it is at equal distance from previous prime (123424013) and next prime (123424027).

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 = 123423984 and 123424002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123424027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221970 + ... + 1222070.

It is an arithmetic number, because the mean of its divisors is an integer number (2113440).

Almost surely, 2123424020 is an apocalyptic number.

123424020 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 123424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202890240).

123424020 is an abundant number, since it is smaller than the sum of its proper divisors (282356460).

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

123424020 is a wasteful number, since it uses less digits than its factorization.

123424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

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

The square root of 123424020 is about 11109.6363576852. The cubic root of 123424020 is about 497.8897999738.

Adding to 123424020 its reverse (20424321), we get a palindrome (143848341).

The spelling of 123424020 in words is "one hundred twenty-three million, four hundred twenty-four thousand, twenty".