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18965340 = 2234523509
BaseRepresentation
bin100100001011…
…0001101011100
31022200112120000
41020112031130
514323342330
61514254300
7320126352
oct110261534
938615500
1018965340
11a783a39
126427390
133c104c4
1427397d2
1519e9560
hex121635c

18965340 has 120 divisors (see below), whose sum is σ = 62203680. Its totient is φ = 4828032.

The previous prime is 18965281. The next prime is 18965341. The reversal of 18965340 is 4356981.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18965295 and 18965304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18965341) 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 39 ways as a sum of consecutive naturals, for example, 37006 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (518364).

Almost surely, 218965340 is an apocalyptic number.

18965340 is a gapful number since it is divisible by the number (10) 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 18965340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31101840).

18965340 is an abundant number, since it is smaller than the sum of its proper divisors (43238340).

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

18965340 is a wasteful number, since it uses less digits than its factorization.

18965340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 18965340 is about 4354.9213540545. The cubic root of 18965340 is about 266.6778085622.

The spelling of 18965340 in words is "eighteen million, nine hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 509 540 621 690 810 828 1018 1035 1242 1380 1527 1620 1863 2036 2070 2484 2545 3054 3105 3726 4140 4581 5090 6108 6210 7452 7635 9162 9315 10180 11707 12420 13743 15270 18324 18630 22905 23414 27486 30540 35121 37260 41229 45810 46828 54972 58535 68715 70242 82458 91620 105363 117070 137430 140484 164916 175605 206145 210726 234140 274860 316089 351210 412290 421452 526815 632178 702420 824580 948267 1053630 1264356 1580445 1896534 2107260 3160890 3793068 4741335 6321780 9482670 18965340