Search a number
-
+
18799020 = 22335311123
BaseRepresentation
bin100011110110…
…1100110101100
31022101002102000
41013231212230
514303032040
61510532300
7315534432
oct107554654
938332360
1018799020
11a67aa89
126367090
133b828a6
1426d4d52
1519b5130
hex11ed9ac

18799020 has 96 divisors (see below), whose sum is σ = 60426240. Its totient is φ = 4847040.

The previous prime is 18799009. The next prime is 18799043. The reversal of 18799020 is 2099781.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16179 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (629440).

Almost surely, 218799020 is an apocalyptic number.

18799020 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 18799020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30213120).

18799020 is an abundant number, since it is smaller than the sum of its proper divisors (41627220).

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

18799020 is a wasteful number, since it uses less digits than its factorization.

18799020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 18799020 is about 4335.7836661900. The cubic root of 18799020 is about 265.8959587083.

The spelling of 18799020 in words is "eighteen million, seven hundred ninety-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1123 1395 1674 1860 2246 2790 3348 3369 4185 4492 5580 5615 6738 8370 10107 11230 13476 16740 16845 20214 22460 30321 33690 34813 40428 50535 60642 67380 69626 101070 104439 121284 139252 151605 174065 202140 208878 303210 313317 348130 417756 522195 606420 626634 696260 939951 1044390 1253268 1566585 1879902 2088780 3133170 3759804 4699755 6266340 9399510 18799020