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18930600 = 23325213809
BaseRepresentation
bin100100000110…
…1101110101000
31022121202220100
41020031232220
514321234400
61513425400
7316623153
oct110155650
938552810
1018930600
11a75a927
12640b260
133bca750
14272ac9a
1519de100
hex120dba8

18930600 has 144 divisors (see below), whose sum is σ = 68550300. Its totient is φ = 4654080.

The previous prime is 18930581. The next prime is 18930623. The reversal of 18930600 is 603981.

It can be written as a sum of positive squares in 6 ways, for example, as 7193124 + 11737476 = 2682^2 + 3426^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22996 + ... + 23804.

Almost surely, 218930600 is an apocalyptic number.

18930600 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 18930600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34275150).

18930600 is an abundant number, since it is smaller than the sum of its proper divisors (49619700).

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

18930600 is a wasteful number, since it uses less digits than its factorization.

18930600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 18930600 is about 4350.9309348690. The cubic root of 18930600 is about 266.5148788959.

The spelling of 18930600 in words is "eighteen million, nine hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 809 900 936 975 1170 1300 1560 1618 1800 1950 2340 2427 2600 2925 3236 3900 4045 4680 4854 5850 6472 7281 7800 8090 9708 10517 11700 12135 14562 16180 19416 20225 21034 23400 24270 29124 31551 32360 36405 40450 42068 48540 52585 58248 60675 63102 72810 80900 84136 94653 97080 105170 121350 126204 145620 157755 161800 182025 189306 210340 242700 252408 262925 291240 315510 364050 378612 420680 473265 485400 525850 631020 728100 757224 788775 946530 1051700 1262040 1456200 1577550 1893060 2103400 2366325 3155100 3786120 4732650 6310200 9465300 18930600