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84050100 = 223252471987
BaseRepresentation
bin1010000001010…
…00000010110100
312212011012001200
411000220002310
5133004100400
612201252500
72040262011
oct500500264
9185135050
1084050100
11434980a2
1224194130
131454a9b4
14b23c708
1575a3b00
hex50280b4

84050100 has 108 divisors (see below), whose sum is σ = 269191104. Its totient is φ = 21925440.

The previous prime is 84050077. The next prime is 84050137. The reversal of 84050100 is 105048.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41307 + ... + 43293.

Almost surely, 284050100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134595552).

84050100 is an abundant number, since it is smaller than the sum of its proper divisors (185141004).

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

84050100 is a wasteful number, since it uses less digits than its factorization.

84050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 84050100 is about 9167.8841615719. The cubic root of 84050100 is about 438.0389656958.

Adding to 84050100 its reverse (105048), we get a palindrome (84155148).

The spelling of 84050100 in words is "eighty-four million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 423 450 470 564 705 846 900 940 1175 1410 1692 1987 2115 2350 2820 3525 3974 4230 4700 5961 7050 7948 8460 9935 10575 11922 14100 17883 19870 21150 23844 29805 35766 39740 42300 49675 59610 71532 89415 93389 99350 119220 149025 178830 186778 198700 280167 298050 357660 373556 447075 466945 560334 596100 840501 894150 933890 1120668 1400835 1681002 1788300 1867780 2334725 2801670 3362004 4202505 4669450 5603340 7004175 8405010 9338900 14008350 16810020 21012525 28016700 42025050 84050100