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1868821240 = 23511131572081
BaseRepresentation
bin110111101100011…
…1111001011111000
311211020111221210111
41233120333023320
512311404234430
6505235154104
764211501266
oct15730771370
94736457714
101868821240
118799a0070
12441a45934
1323a2381b0
1413a2ad436
15ae0eec2a
hex6f63f2f8

1868821240 has 128 divisors (see below), whose sum is σ = 4973814720. Its totient is φ = 623001600.

The previous prime is 1868821177. The next prime is 1868821249. The reversal of 1868821240 is 421288681.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1868821193 and 1868821202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868821249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897000 + ... + 899080.

Almost surely, 21868821240 is an apocalyptic number.

1868821240 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 1868821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486907360).

1868821240 is an abundant number, since it is smaller than the sum of its proper divisors (3104993480).

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

1868821240 is a wasteful number, since it uses less digits than its factorization.

1868821240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 1868821240 is about 43229.8651397388. The cubic root of 1868821240 is about 1231.7500459211.

The spelling of 1868821240 in words is "one billion, eight hundred sixty-eight million, eight hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 157 220 260 286 314 440 520 572 628 715 785 1144 1256 1430 1570 1727 2041 2081 2860 3140 3454 4082 4162 5720 6280 6908 8164 8324 8635 10205 10405 13816 16328 16648 17270 20410 20810 22451 22891 27053 34540 40820 41620 44902 45782 54106 69080 81640 83240 89804 91564 108212 112255 114455 135265 179608 183128 216424 224510 228910 270530 297583 326717 449020 457820 541060 595166 653434 898040 915640 1082120 1190332 1306868 1487915 1633585 2380664 2613736 2975830 3267170 3593887 4247321 5951660 6534340 7187774 8494642 11903320 13068680 14375548 16989284 17969435 21236605 28751096 33978568 35938870 42473210 46720531 71877740 84946420 93441062 143755480 169892840 186882124 233602655 373764248 467205310 934410620 1868821240