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122320040 = 2353058001
BaseRepresentation
bin1110100101001…
…11010010101000
322112011111112212
413102213102220
5222303220130
620045424252
73013463123
oct722472250
9275144485
10122320040
1163056947
1234b6b088
131c459c2b
14123613ba
15ab12e95
hex74a74a8

122320040 has 16 divisors (see below), whose sum is σ = 275220180. Its totient is φ = 48928000.

The previous prime is 122320027. The next prime is 122320063. The reversal of 122320040 is 40023221.

It can be written as a sum of positive squares in 2 ways, for example, as 111809476 + 10510564 = 10574^2 + 3242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122319997 and 122320024.

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, 1528961 + ... + 1529040.

Almost surely, 2122320040 is an apocalyptic number.

122320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320040 is an abundant number, since it is smaller than the sum of its proper divisors (152900140).

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

122320040 is a wasteful number, since it uses less digits than its factorization.

122320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058012 (or 3058008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 122320040 is about 11059.8390585035. The cubic root of 122320040 is about 496.4008747576.

Adding to 122320040 its reverse (40023221), we get a palindrome (162343261).

The spelling of 122320040 in words is "one hundred twenty-two million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3058001 6116002 12232004 15290005 24464008 30580010 61160020 122320040