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121593620 = 22538915629
BaseRepresentation
bin1110011111101…
…01111100010100
322110210121002102
413033311330110
5222111443440
620022101232
73004346231
oct717657424
9273717072
10121593620
11627000a5
123487a818
131c2643b5
1412212788
15aa1cb15
hex73f5f14

121593620 has 24 divisors (see below), whose sum is σ = 256019400. Its totient is φ = 48509312.

The previous prime is 121593601. The next prime is 121593629. The reversal of 121593620 is 26395121.

It can be written as a sum of positive squares in 4 ways, for example, as 34245904 + 87347716 = 5852^2 + 9346^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121593629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 15594.

It is an arithmetic number, because the mean of its divisors is an integer number (10667475).

Almost surely, 2121593620 is an apocalyptic number.

121593620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121593620 is an abundant number, since it is smaller than the sum of its proper divisors (134425780).

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

121593620 is a wasteful number, since it uses less digits than its factorization.

121593620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16027 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 121593620 is about 11026.9497142229. The cubic root of 121593620 is about 495.4162671965.

The spelling of 121593620 in words is "one hundred twenty-one million, five hundred ninety-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 15629 31258 62516 78145 156290 312580 6079681 12159362 24318724 30398405 60796810 121593620