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20378260 = 22571947163
BaseRepresentation
bin100110110111…
…1001010010100
31102100022201101
41031233022110
520204101020
62004435444
7335132560
oct115571224
942308641
1020378260
1110559541
1269a8b84
1342b6656
1429c66a0
151bc800a
hex136f294

20378260 has 96 divisors (see below), whose sum is σ = 52899840. Its totient is φ = 6438528.

The previous prime is 20378249. The next prime is 20378273. The reversal of 20378260 is 6287302.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 124939 + ... + 125101.

It is an arithmetic number, because the mean of its divisors is an integer number (551040).

Almost surely, 220378260 is an apocalyptic number.

20378260 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 20378260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449920).

20378260 is an abundant number, since it is smaller than the sum of its proper divisors (32521580).

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

20378260 is a wasteful number, since it uses less digits than its factorization.

20378260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 20378260 is about 4514.2286162754. The cubic root of 20378260 is about 273.1423446021.

The spelling of 20378260 in words is "twenty million, three hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 47 70 76 94 95 133 140 163 188 190 235 266 326 329 380 470 532 652 658 665 815 893 940 1141 1316 1330 1630 1645 1786 2282 2660 3097 3260 3290 3572 4465 4564 5705 6194 6251 6580 7661 8930 11410 12388 12502 15322 15485 17860 21679 22820 25004 30644 30970 31255 38305 43358 53627 61940 62510 76610 86716 107254 108395 125020 145559 153220 214508 216790 268135 291118 433580 536270 582236 727795 1018913 1072540 1455590 2037826 2911180 4075652 5094565 10189130 20378260