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20173680 = 2432528019
BaseRepresentation
bin100110011110…
…1001101110000
31101221221002100
41030331031300
520131024210
62000220400
7333321252
oct114751560
941857070
1020173680
111042986a
12690a700
1342444b7
142971cd2
151b875c0
hex133d370

20173680 has 60 divisors (see below), whose sum is σ = 67752360. Its totient is φ = 5379456.

The previous prime is 20173663. The next prime is 20173697. The reversal of 20173680 is 8637102.

It is an interprime number because it is at equal distance from previous prime (20173663) and next prime (20173697).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13290 + ... + 14729.

It is an arithmetic number, because the mean of its divisors is an integer number (1129206).

Almost surely, 220173680 is an apocalyptic number.

20173680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20173680 is an abundant number, since it is smaller than the sum of its proper divisors (47578680).

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

20173680 is a wasteful number, since it uses less digits than its factorization.

20173680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28038 (or 28029 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20173680 is about 4491.5119948632. The cubic root of 20173680 is about 272.2252315523.

The spelling of 20173680 in words is "twenty million, one hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28019 56038 84057 112076 140095 168114 224152 252171 280190 336228 420285 448304 504342 560380 672456 840570 1008684 1120760 1260855 1344912 1681140 2017368 2241520 2521710 3362280 4034736 5043420 6724560 10086840 20173680