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80465960 = 23523149587
BaseRepresentation
bin1001100101111…
…01000000101000
312121102002112202
410302331000220
5131044402320
611552355332
71664643431
oct462750050
9177362482
1080465960
114146a2a3
1222b45b48
13138944c3
14a988488
1570e6b75
hex4cbd028

80465960 has 64 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 30528256.

The previous prime is 80465951. The next prime is 80465971. The reversal of 80465960 is 6956408.

80465960 = T1125 + T1126 + ... + T1239.

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, 136787 + ... + 137373.

It is an arithmetic number, because the mean of its divisors is an integer number (2976750).

Almost surely, 280465960 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 80465960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

80465960 is an abundant number, since it is smaller than the sum of its proper divisors (110046040).

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

80465960 is a wasteful number, since it uses less digits than its factorization.

80465960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 80465960 is about 8970.2820468478. The cubic root of 80465960 is about 431.7218860370.

The spelling of 80465960 in words is "eighty million, four hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 149 184 230 298 460 587 596 745 920 1174 1192 1490 2348 2935 2980 3427 4696 5870 5960 6854 11740 13501 13708 17135 23480 27002 27416 34270 54004 67505 68540 87463 108008 135010 137080 174926 270020 349852 437315 540040 699704 874630 1749260 2011649 3498520 4023298 8046596 10058245 16093192 20116490 40232980 80465960