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20846420 = 22571719461
BaseRepresentation
bin100111110000…
…1011101010100
31110020002220122
41033201131110
520314041140
62022451112
7342122510
oct117413524
943202818
1020846420
1110849251
126b93a98
13441b77a
142aa9140
151c6bab5
hex13e1754

20846420 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 6359040.

The previous prime is 20846417. The next prime is 20846431. The reversal of 20846420 is 2464802.

It is a self number, because there is not a number n which added to its sum of digits gives 20846420.

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 31 ways as a sum of consecutive naturals, for example, 44990 + ... + 45450.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 220846420 is an apocalyptic number.

20846420 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 20846420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

20846420 is an abundant number, since it is smaller than the sum of its proper divisors (35037100).

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

20846420 is a wasteful number, since it uses less digits than its factorization.

20846420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 20846420 is about 4565.7879933260. The cubic root of 20846420 is about 275.2182069766.

The spelling of 20846420 in words is "twenty million, eight hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 461 476 532 595 646 665 922 1190 1292 1330 1615 1844 2261 2305 2380 2660 3227 3230 4522 4610 6454 6460 7837 8759 9044 9220 11305 12908 15674 16135 17518 22610 31348 32270 35036 39185 43795 45220 54859 61313 64540 78370 87590 109718 122626 148903 156740 175180 219436 245252 274295 297806 306565 548590 595612 613130 744515 1042321 1097180 1226260 1489030 2084642 2978060 4169284 5211605 10423210 20846420