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20906340 = 22357213547
BaseRepresentation
bin100111111000…
…0000101100100
31110100011002220
41033300011210
520323000330
62024032340
7342462300
oct117600544
943304086
1020906340
111088a274
1270026b0
13443cb20
142ac2d00
151c7e710
hex13f0164

20906340 has 144 divisors (see below), whose sum is σ = 73467072. Its totient is φ = 4402944.

The previous prime is 20906329. The next prime is 20906341. The reversal of 20906340 is 4360902.

It is a self number, because there is not a number n which added to its sum of digits gives 20906340.

It is not an unprimeable number, because it can be changed into a prime (20906341) 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 47 ways as a sum of consecutive naturals, for example, 37947 + ... + 38493.

It is an arithmetic number, because the mean of its divisors is an integer number (510188).

Almost surely, 220906340 is an apocalyptic number.

20906340 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 20906340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36733536).

20906340 is an abundant number, since it is smaller than the sum of its proper divisors (52560732).

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

20906340 is a wasteful number, since it uses less digits than its factorization.

20906340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20906340 is about 4572.3451313303. The cubic root of 20906340 is about 275.4816462905.

The spelling of 20906340 in words is "twenty million, nine hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 547 588 637 735 780 910 980 1092 1094 1274 1365 1470 1641 1820 1911 2188 2548 2730 2735 2940 3185 3282 3822 3829 5460 5470 6370 6564 7111 7644 7658 8205 9555 10940 11487 12740 14222 15316 16410 19110 19145 21333 22974 26803 28444 32820 35555 38220 38290 42666 45948 49777 53606 57435 71110 76580 80409 85332 99554 106665 107212 114870 134015 142220 149331 160818 199108 213330 229740 248885 268030 298662 321636 348439 402045 426660 497770 536060 597324 696878 746655 804090 995540 1045317 1393756 1493310 1608180 1742195 2090634 2986620 3484390 4181268 5226585 6968780 10453170 20906340