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17420980 = 2254212069
BaseRepresentation
bin100001001110…
…1001010110100
31012210002002111
41002131022310
513424432410
61421220404
7301035013
oct102351264
935702074
1017420980
119919705
125a01704
1337bc595
142456a7a
1517e1b8a
hex109d2b4

17420980 has 24 divisors (see below), whose sum is σ = 36688680. Its totient is φ = 6948480.

The previous prime is 17420957. The next prime is 17420987. The reversal of 17420980 is 8902471.

It can be written as a sum of positive squares in 4 ways, for example, as 872356 + 16548624 = 934^2 + 4068^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17420987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7386 + ... + 9454.

It is an arithmetic number, because the mean of its divisors is an integer number (1528695).

Almost surely, 217420980 is an apocalyptic number.

17420980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17420980 is an abundant number, since it is smaller than the sum of its proper divisors (19267700).

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

17420980 is a wasteful number, since it uses less digits than its factorization.

17420980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 17420980 is about 4173.8447503471. The cubic root of 17420980 is about 259.2333431741.

The spelling of 17420980 in words is "seventeen million, four hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 421 842 1684 2069 2105 4138 4210 8276 8420 10345 20690 41380 871049 1742098 3484196 4355245 8710490 17420980