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123414040 = 2353085351
BaseRepresentation
bin1110101101100…
…10011000011000
322121020002020101
413112302120120
5223043222130
620125105144
73026000461
oct726623030
9277202211
10123414040
1163733882
12353b81b4
131c750b79
1412567d68
15ac7c1ca
hex75b2618

123414040 has 16 divisors (see below), whose sum is σ = 277681680. Its totient is φ = 49365600.

The previous prime is 123414023. The next prime is 123414061. The reversal of 123414040 is 40414321.

It is a junction number, because it is equal to n+sod(n) for n = 123413999 and 123414017.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1542636 + ... + 1542715.

It is an arithmetic number, because the mean of its divisors is an integer number (17355105).

Almost surely, 2123414040 is an apocalyptic number.

123414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123414040 is an abundant number, since it is smaller than the sum of its proper divisors (154267640).

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

123414040 is a wasteful number, since it uses less digits than its factorization.

123414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085362 (or 3085358 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 123414040 is about 11109.1871889891. The cubic root of 123414040 is about 497.8763799115.

Adding to 123414040 its reverse (40414321), we get a palindrome (163828361).

The spelling of 123414040 in words is "one hundred twenty-three million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3085351 6170702 12341404 15426755 24682808 30853510 61707020 123414040