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123440040 = 23325342889
BaseRepresentation
bin1110101101110…
…00101110101000
322121021101220100
413112320232220
5223100040130
620125425400
73026136333
oct726705650
9277241810
10123440040
1163751369
123540b260
131c75c959
141257361a
15ac84c60
hex75b8ba8

123440040 has 48 divisors (see below), whose sum is σ = 401181300. Its totient is φ = 32917248.

The previous prime is 123440033. The next prime is 123440059. The reversal of 123440040 is 40044321.

It can be written as a sum of positive squares in 2 ways, for example, as 103673124 + 19766916 = 10182^2 + 4446^2 .

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 = 123439995 and 123440022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171085 + ... + 171804.

Almost surely, 2123440040 is an apocalyptic number.

123440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123440040 is an abundant number, since it is smaller than the sum of its proper divisors (277741260).

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

123440040 is a wasteful number, since it uses less digits than its factorization.

123440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342906 (or 342899 counting only the distinct ones).

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

The square root of 123440040 is about 11110.3573299872. The cubic root of 123440040 is about 497.9113404852.

Adding to 123440040 its reverse (40044321), we get a palindrome (163484361).

The spelling of 123440040 in words is "one hundred twenty-three million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 342889 685778 1028667 1371556 1714445 2057334 2743112 3086001 3428890 4114668 5143335 6172002 6857780 8229336 10286670 12344004 13715560 15430005 20573340 24688008 30860010 41146680 61720020 123440040