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20297340 = 22325789181
BaseRepresentation
bin100110101101…
…1011001111100
31102012012201100
41031123121330
520144003330
62003013100
7334344630
oct115333174
942165640
1020297340
1110503768
12696a190
13428887b
1429a4dc0
151bae060
hex135b67c

20297340 has 144 divisors (see below), whose sum is σ = 71547840. Its totient is φ = 4561920.

The previous prime is 20297317. The next prime is 20297341. The reversal of 20297340 is 4379202.

It is a super-2 number, since 2×202973402 = 823964022151200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20297341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112050 + ... + 112230.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 220297340 is an apocalyptic number.

20297340 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 20297340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35773920).

20297340 is an abundant number, since it is smaller than the sum of its proper divisors (51250500).

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

20297340 is a wasteful number, since it uses less digits than its factorization.

20297340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20297340 is about 4505.2569294104. The cubic root of 20297340 is about 272.7803248309.

The spelling of 20297340 in words is "twenty million, two hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 181 210 252 267 315 356 362 420 445 534 543 623 630 724 801 890 905 1068 1086 1246 1260 1267 1335 1602 1629 1780 1810 1869 2172 2492 2534 2670 2715 3115 3204 3258 3620 3738 3801 4005 5068 5340 5430 5607 6230 6335 6516 7476 7602 8010 8145 9345 10860 11214 11403 12460 12670 15204 16020 16109 16290 18690 19005 22428 22806 25340 28035 32218 32580 37380 38010 45612 48327 56070 57015 64436 76020 80545 96654 112140 112763 114030 144981 161090 193308 225526 228060 241635 289962 322180 338289 451052 483270 563815 579924 676578 724905 966540 1014867 1127630 1353156 1449810 1691445 2029734 2255260 2899620 3382890 4059468 5074335 6765780 10148670 20297340