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17141920 = 255107137
BaseRepresentation
bin100000101100…
…1000010100000
31012020220021221
41001121002200
513342020140
61411224424
7265463305
oct101310240
935226257
1017141920
119748a84
1258a8114
133722563
1423c30ac
15178914a
hex10590a0

17141920 has 24 divisors (see below), whose sum is σ = 40498164. Its totient is φ = 6856704.

The previous prime is 17141911. The next prime is 17141921. The reversal of 17141920 is 2914171.

It can be written as a sum of positive squares in 2 ways, for example, as 16875664 + 266256 = 4108^2 + 516^2 .

It is not an unprimeable number, because it can be changed into a prime (17141921) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53409 + ... + 53728.

Almost surely, 217141920 is an apocalyptic number.

17141920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17141920 is an abundant number, since it is smaller than the sum of its proper divisors (23356244).

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

17141920 is a wasteful number, since it uses less digits than its factorization.

17141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107152 (or 107144 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 17141920 is about 4140.2801837557. The cubic root of 17141920 is about 257.8416992579.

The spelling of 17141920 in words is "seventeen million, one hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 107137 214274 428548 535685 857096 1071370 1714192 2142740 3428384 4285480 8570960 17141920