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2187100880 = 245137431463
BaseRepresentation
bin1000001001011100…
…1000001011010000
312122102102020101022
42002113020023100
513434344212010
61001005055012
7105125023256
oct20227101320
95572366338
102187100880
11a2261a298
12510557468
1328b166343
1416a6805d6
15cc01ed55
hex825c82d0

2187100880 has 80 divisors (see below), whose sum is σ = 5145099264. Its totient is φ = 864568320.

The previous prime is 2187100841. The next prime is 2187100891. The reversal of 2187100880 is 880017812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2187100880.

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 15 ways as a sum of consecutive naturals, for example, 4723529 + ... + 4723991.

Almost surely, 22187100880 is an apocalyptic number.

2187100880 is a gapful number since it is divisible by the number (20) 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 2187100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572549632).

2187100880 is an abundant number, since it is smaller than the sum of its proper divisors (2957998384).

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

2187100880 is a wasteful number, since it uses less digits than its factorization.

2187100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 2187100880 is about 46766.4503677583. The cubic root of 2187100880 is about 1298.0445710132.

The spelling of 2187100880 in words is "two billion, one hundred eighty-seven million, one hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 431 463 548 685 862 926 1096 1370 1724 1852 2155 2192 2315 2740 3448 3704 4310 4630 5480 6896 7408 8620 9260 10960 17240 18520 34480 37040 59047 63431 118094 126862 199553 236188 253724 295235 317155 399106 472376 507448 590470 634310 798212 944752 997765 1014896 1180940 1268620 1596424 1995530 2361880 2537240 3192848 3991060 4723760 5074480 7982120 15964240 27338761 54677522 109355044 136693805 218710088 273387610 437420176 546775220 1093550440 2187100880