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31839990 = 235713107109
BaseRepresentation
bin111100101110…
…1011011110110
32012220122020220
41321131123312
531122334430
63054235210
7534430650
oct171353366
965818226
1031839990
1116a77946
12a7b5b06
13679a640
14432b6d0
152bde110
hex1e5d6f6

31839990 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 6594048.

The previous prime is 31839989. The next prime is 31840001. The reversal of 31839990 is 9993813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292056 + ... + 292164.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 231839990 is an apocalyptic number.

31839990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31839990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

31839990 is an abundant number, since it is smaller than the sum of its proper divisors (63960330).

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

31839990 is a wasteful number, since it uses less digits than its factorization.

31839990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 31839990 is about 5642.6935057648. The cubic root of 31839990 is about 316.9501591807.

The spelling of 31839990 in words is "thirty-one million, eight hundred thirty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 107 109 130 182 195 210 214 218 273 321 327 390 455 535 545 546 642 654 749 763 910 1070 1090 1365 1391 1417 1498 1526 1605 1635 2247 2289 2730 2782 2834 3210 3270 3745 3815 4173 4251 4494 4578 6955 7085 7490 7630 8346 8502 9737 9919 11235 11445 11663 13910 14170 19474 19838 20865 21255 22470 22890 23326 29211 29757 34989 41730 42510 48685 49595 58315 58422 59514 69978 81641 97370 99190 116630 146055 148785 151619 163282 174945 244923 292110 297570 303238 349890 408205 454857 489846 758095 816410 909714 1061333 1224615 1516190 2122666 2274285 2449230 3183999 4548570 5306665 6367998 10613330 15919995 31839990