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20487320 = 2357193851
BaseRepresentation
bin100111000100…
…1110010011000
31102112212022122
41032021302120
520221043240
62011040412
7336065540
oct116116230
942485278
1020487320
1110623477
126a40108
134324199
142a14320
151bea4b5
hex1389c98

20487320 has 64 divisors (see below), whose sum is σ = 55468800. Its totient is φ = 6652800.

The previous prime is 20487317. The next prime is 20487343. The reversal of 20487320 is 2378402.

It is a self number, because there is not a number n which added to its sum of digits gives 20487320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3395 + ... + 7245.

It is an arithmetic number, because the mean of its divisors is an integer number (866700).

Almost surely, 220487320 is an apocalyptic number.

20487320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20487320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734400).

20487320 is an abundant number, since it is smaller than the sum of its proper divisors (34981480).

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

20487320 is a wasteful number, since it uses less digits than its factorization.

20487320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 20487320 is about 4526.2920807213. The cubic root of 20487320 is about 273.6287440020.

The spelling of 20487320 in words is "twenty million, four hundred eighty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 3851 5320 7702 15404 19255 26957 30808 38510 53914 73169 77020 107828 134785 146338 154040 215656 269570 292676 365845 512183 539140 585352 731690 1024366 1078280 1463380 2048732 2560915 2926760 4097464 5121830 10243660 20487320