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80663400 = 233252411093
BaseRepresentation
bin1001100111011…
…01001101101000
312121210010101100
410303231031220
5131122212100
612000521400
71666425156
oct463551550
9177703340
1080663400
1141594674
1223020260
131393332c
14a9da3d6
157135400
hex4ced368

80663400 has 144 divisors (see below), whose sum is σ = 277755660. Its totient is φ = 20966400.

The previous prime is 80663371. The next prime is 80663477. The reversal of 80663400 is 436608.

It can be written as a sum of positive squares in 6 ways, for example, as 32970564 + 47692836 = 5742^2 + 6906^2 .

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, 73254 + ... + 74346.

Almost surely, 280663400 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 80663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138877830).

80663400 is an abundant number, since it is smaller than the sum of its proper divisors (197092260).

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

80663400 is a wasteful number, since it uses less digits than its factorization.

80663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 80663400 is about 8981.2805323072. The cubic root of 80663400 is about 432.0747041591.

The spelling of 80663400 in words is "eighty million, six hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 41 45 50 60 72 75 82 90 100 120 123 150 164 180 200 205 225 246 300 328 360 369 410 450 492 600 615 738 820 900 984 1025 1093 1230 1476 1640 1800 1845 2050 2186 2460 2952 3075 3279 3690 4100 4372 4920 5465 6150 6558 7380 8200 8744 9225 9837 10930 12300 13116 14760 16395 18450 19674 21860 24600 26232 27325 32790 36900 39348 43720 44813 49185 54650 65580 73800 78696 81975 89626 98370 109300 131160 134439 163950 179252 196740 218600 224065 245925 268878 327900 358504 393480 403317 448130 491850 537756 655800 672195 806634 896260 983700 1075512 1120325 1344390 1613268 1792520 1967400 2016585 2240650 2688780 3226536 3360975 4033170 4481300 5377560 6721950 8066340 8962600 10082925 13443900 16132680 20165850 26887800 40331700 80663400