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213339420 = 2235576271
BaseRepresentation
bin11001011011101…
…00110100011100
3112212102202200000
430231310310130
5414103330140
633100334300
75200232550
oct1455646434
9485382600
10213339420
11aa474078
125b544390
1335277b58
1420495860
1513ae1a30
hexcb74d1c

213339420 has 144 divisors (see below), whose sum is σ = 767090688. Its totient is φ = 48755520.

The previous prime is 213339419. The next prime is 213339437. The reversal of 213339420 is 24933312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30885 + ... + 37155.

Almost surely, 2213339420 is an apocalyptic number.

213339420 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 213339420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383545344).

213339420 is an abundant number, since it is smaller than the sum of its proper divisors (553751268).

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

213339420 is a wasteful number, since it uses less digits than its factorization.

213339420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 213339420 is about 14606.1432281078. The cubic root of 213339420 is about 597.5263154904.

The spelling of 213339420 in words is "two hundred thirteen million, three hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6271 6804 8505 11340 12542 17010 18813 25084 31355 34020 37626 43897 56439 62710 75252 87794 94065 112878 125420 131691 169317 175588 188130 219485 225756 263382 282195 338634 376260 395073 438970 507951 526764 564390 658455 677268 790146 846585 877940 1015902 1128780 1185219 1316910 1523853 1580292 1693170 1975365 2031804 2370438 2539755 2633820 3047706 3386340 3555657 3950730 4740876 5079510 5926095 6095412 7111314 7619265 7901460 10159020 10666971 11852190 14222628 15238530 17778285 21333942 23704380 30477060 35556570 42667884 53334855 71113140 106669710 213339420