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20993160 = 2335174943
BaseRepresentation
bin101000000010…
…1010010001000
31110111120012110
41100011102020
520333240120
62025542320
7343303356
oct120052210
943446173
1020993160
1110939521
1270449a0
1344704b6
142b067d6
151c9a2e0
hex1405488

20993160 has 32 divisors (see below), whose sum is σ = 62979840. Its totient is φ = 5598144.

The previous prime is 20993149. The next prime is 20993173. The reversal of 20993160 is 6139902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87352 + ... + 87591.

It is an arithmetic number, because the mean of its divisors is an integer number (1968120).

Almost surely, 220993160 is an apocalyptic number.

20993160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20993160 is an abundant number, since it is smaller than the sum of its proper divisors (41986680).

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

20993160 is a wasteful number, since it uses less digits than its factorization.

20993160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174957 (or 174953 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 20993160 is about 4581.8293289908. The cubic root of 20993160 is about 275.8624603515.

The spelling of 20993160 in words is "twenty million, nine hundred ninety-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 174943 349886 524829 699772 874715 1049658 1399544 1749430 2099316 2624145 3498860 4198632 5248290 6997720 10496580 20993160