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80661120 = 273543977
BaseRepresentation
bin1001100111011…
…00101010000000
312121210000020220
410303230222000
5131122123440
612000503040
71666415421
oct463545200
9177700226
1080661120
1141592991
122301aa80
1313932297
14a9d9648
1571348d0
hex4ceca80

80661120 has 128 divisors (see below), whose sum is σ = 263355840. Its totient is φ = 20987904.

The previous prime is 80661089. The next prime is 80661157. The reversal of 80661120 is 2116608.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 82072 + ... + 83048.

Almost surely, 280661120 is an apocalyptic number.

80661120 is a gapful number since it is divisible by the number (80) 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 80661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131677920).

80661120 is an abundant number, since it is smaller than the sum of its proper divisors (182694720).

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

80661120 is a wasteful number, since it uses less digits than its factorization.

80661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 80661120 is about 8981.1536007353. The cubic root of 80661120 is about 432.0706331694.

Adding to 80661120 its reverse (2116608), we get a palindrome (82777728).

The spelling of 80661120 in words is "eighty million, six hundred sixty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 258 320 344 384 430 480 516 640 645 688 860 960 977 1032 1290 1376 1720 1920 1954 2064 2580 2752 2931 3440 3908 4128 4885 5160 5504 5862 6880 7816 8256 9770 10320 11724 13760 14655 15632 16512 19540 20640 23448 27520 29310 31264 39080 41280 42011 46896 58620 62528 78160 82560 84022 93792 117240 125056 126033 156320 168044 187584 210055 234480 252066 312640 336088 375168 420110 468960 504132 625280 630165 672176 840220 937920 1008264 1260330 1344352 1680440 1875840 2016528 2520660 2688704 3360880 4033056 5041320 5377408 6721760 8066112 10082640 13443520 16132224 20165280 26887040 40330560 80661120