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1814497020 = 2232573738921
BaseRepresentation
bin110110000100111…
…0000011011111100
311200110021222222100
41230021300123330
512204002401040
6500014545100
762651653530
oct15411603374
94613258870
101814497020
11851266516
12427808190
1322bbc779b
14132dabbc0
15a946db30
hex6c2706fc

1814497020 has 144 divisors (see below), whose sum is σ = 6460429248. Its totient is φ = 403522560.

The previous prime is 1814497001. The next prime is 1814497037. The reversal of 1814497020 is 207944181.

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

It is a congruent number.

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, 27160 + ... + 66080.

It is an arithmetic number, because the mean of its divisors is an integer number (44864092).

Almost surely, 21814497020 is an apocalyptic number.

1814497020 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 1814497020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230214624).

1814497020 is an abundant number, since it is smaller than the sum of its proper divisors (4645932228).

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

1814497020 is a wasteful number, since it uses less digits than its factorization.

1814497020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38980 (or 38975 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1814497020 is about 42596.9132684517. The cubic root of 1814497020 is about 1219.6973673791.

The spelling of 1814497020 in words is "one billion, eight hundred fourteen million, four hundred ninety-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 38921 46620 77842 116763 155684 194605 233526 272447 350289 389210 467052 544894 583815 700578 778420 817341 1089788 1167630 1362235 1401156 1440077 1634682 1751445 2335260 2452023 2724470 2880154 3269364 3502890 4086705 4320231 4904046 5448940 5760308 7005780 7200385 8173410 8640462 9808092 10080539 12260115 12960693 14400770 16346820 17280924 20161078 21601155 24520230 25921386 28801540 30241617 40322156 43202310 49040460 50402695 51842772 60483234 64803465 86404620 90724851 100805390 120966468 129606930 151208085 181449702 201610780 259213860 302416170 362899404 453624255 604832340 907248510 1814497020