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80302080 = 212351307
BaseRepresentation
bin1001100100101…
…01000000000000
312121002202202010
410302111000000
5131024131310
611545052520
71663361565
oct462250000
9177082663
1080302080
1141368161
1222a87140
1313837a31
14a94486c
1570b3320
hex4c95000

80302080 has 104 divisors (see below), whose sum is σ = 257131872. Its totient is φ = 21397504.

The previous prime is 80302069. The next prime is 80302081. The reversal of 80302080 is 8020308.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80302081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60787 + ... + 62093.

Almost surely, 280302080 is an apocalyptic number.

80302080 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 80302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128565936).

80302080 is an abundant number, since it is smaller than the sum of its proper divisors (176829792).

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

80302080 is a wasteful number, since it uses less digits than its factorization.

80302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 80302080 is about 8961.1427842659. The cubic root of 80302080 is about 431.4285998317.

Adding to 80302080 its reverse (8020308), we get a palindrome (88322388).

The spelling of 80302080 in words is "eighty million, three hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1307 1536 1920 2048 2560 2614 3072 3840 3921 4096 5120 5228 6144 6535 7680 7842 10240 10456 12288 13070 15360 15684 19605 20480 20912 26140 30720 31368 39210 41824 52280 61440 62736 78420 83648 104560 125472 156840 167296 209120 250944 313680 334592 418240 501888 627360 669184 836480 1003776 1254720 1338368 1672960 2007552 2509440 2676736 3345920 4015104 5018880 5353472 6691840 8030208 10037760 13383680 16060416 20075520 26767360 40151040 80302080