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80297100 = 223252136863
BaseRepresentation
bin1001100100100…
…11110010001100
312121002111220200
410302103302030
5131024001400
611545013500
71663341222
oct462236214
9177074820
1080297100
1141364444
1222a84290
13138356a0
14a942b12
1570b1b00
hex4c93c8c

80297100 has 108 divisors (see below), whose sum is σ = 271086816. Its totient is φ = 19762560.

The previous prime is 80297093. The next prime is 80297111. The reversal of 80297100 is 179208.

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, 8269 + ... + 15131.

Almost surely, 280297100 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 80297100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135543408).

80297100 is an abundant number, since it is smaller than the sum of its proper divisors (190789716).

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

80297100 is a wasteful number, since it uses less digits than its factorization.

80297100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 80297100 is about 8960.8649136119. The cubic root of 80297100 is about 431.4196811800.

It can be divided in two parts, 8029 and 7100, that added together give a square (15129 = 1232).

The spelling of 80297100 in words is "eighty million, two hundred ninety-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 6863 11700 13726 20589 27452 34315 41178 61767 68630 82356 89219 102945 123534 137260 171575 178438 205890 247068 267657 308835 343150 356876 411780 446095 514725 535314 617670 686300 802971 892190 1029450 1070628 1235340 1338285 1544175 1605942 1784380 2058900 2230475 2676570 3088350 3211884 4014855 4460950 5353140 6176700 6691425 8029710 8921900 13382850 16059420 20074275 26765700 40148550 80297100