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18926820 = 2232511379
BaseRepresentation
bin100100000110…
…0110011100100
31022121120201100
41020030303210
514321124240
61513400100
7316606143
oct110146344
938546640
1018926820
11a758000
126409030
133bc8b03
14272975a
1519dce30
hex120cce4

18926820 has 144 divisors (see below), whose sum is σ = 63947520. Its totient is φ = 4530240.

The previous prime is 18926819. The next prime is 18926849. The reversal of 18926820 is 2862981.

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 47 ways as a sum of consecutive naturals, for example, 239541 + ... + 239619.

It is an arithmetic number, because the mean of its divisors is an integer number (444080).

Almost surely, 218926820 is an apocalyptic number.

18926820 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 18926820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973760).

18926820 is an abundant number, since it is smaller than the sum of its proper divisors (45020700).

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

18926820 is a wasteful number, since it uses less digits than its factorization.

18926820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18926820 is about 4350.4965233867. The cubic root of 18926820 is about 266.4971387767.

The spelling of 18926820 in words is "eighteen million, nine hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 121 132 158 165 180 198 220 237 242 316 330 363 395 396 474 484 495 605 660 711 726 790 869 948 990 1089 1185 1210 1331 1422 1452 1580 1738 1815 1980 2178 2370 2420 2607 2662 2844 3476 3555 3630 3993 4345 4356 4740 5214 5324 5445 6655 7110 7260 7821 7986 8690 9559 10428 10890 11979 13035 13310 14220 15642 15972 17380 19118 19965 21780 23958 26070 26620 28677 31284 38236 39105 39930 47795 47916 52140 57354 59895 78210 79860 86031 95590 105149 114708 119790 143385 156420 172062 191180 210298 239580 286770 315447 344124 420596 430155 525745 573540 630894 860310 946341 1051490 1261788 1577235 1720620 1892682 2102980 3154470 3785364 4731705 6308940 9463410 18926820