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1806499840 = 216537149
BaseRepresentation
bin110101110101101…
…0000000000000000
311122220020200220111
41223223100000000
512144430443330
6455131321104
762523665245
oct15353200000
94586220814
101806499840
118477a4082
12424bb0194
1322a357722
14131cc95cc
15a88de32a
hex6bad0000

1806499840 has 136 divisors (see below), whose sum is σ = 4482628200. Its totient is φ = 698351616.

The previous prime is 1806499831. The next prime is 1806499843. The reversal of 1806499840 is 489946081.

It can be written as a sum of positive squares in 4 ways, for example, as 191102976 + 1615396864 = 13824^2 + 40192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806499843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12124086 + ... + 12124234.

Almost surely, 21806499840 is an apocalyptic number.

1806499840 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 1806499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241314100).

1806499840 is an abundant number, since it is smaller than the sum of its proper divisors (2676128360).

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

1806499840 is an frugal number, since it uses more digits than its factorization.

1806499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 1806499840 is about 42502.9391924841. The cubic root of 1806499840 is about 1217.9028379960.

The spelling of 1806499840 in words is "one billion, eight hundred six million, four hundred ninety-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 149 160 185 256 296 298 320 370 512 592 596 640 740 745 1024 1184 1192 1280 1480 1490 2048 2368 2384 2560 2960 2980 4096 4736 4768 5120 5513 5920 5960 8192 9472 9536 10240 11026 11840 11920 16384 18944 19072 20480 22052 23680 23840 27565 32768 37888 38144 40960 44104 47360 47680 55130 65536 75776 76288 81920 88208 94720 95360 110260 151552 152576 163840 176416 189440 190720 220520 303104 305152 327680 352832 378880 381440 441040 606208 610304 705664 757760 762880 882080 1212416 1220608 1411328 1515520 1525760 1764160 2424832 2441216 2822656 3031040 3051520 3528320 4882432 5645312 6062080 6103040 7056640 9764864 11290624 12124160 12206080 14113280 22581248 24412160 28226560 45162496 48824320 56453120 90324992 112906240 180649984 225812480 361299968 451624960 903249920 1806499840