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80965440 = 263359371
BaseRepresentation
bin1001101001101…
…10111101000000
312122100110201000
410310312331000
5131211343230
612011212000
72002123563
oct464667500
9178313630
1080965440
1141780596
1223147000
1313a0a95a
14aa784da
157194b60
hex4d36f40

80965440 has 112 divisors (see below), whose sum is σ = 285658560. Its totient is φ = 21588480.

The previous prime is 80965439. The next prime is 80965471. The reversal of 80965440 is 4456908.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80965395 and 80965404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955 + ... + 13325.

Almost surely, 280965440 is an apocalyptic number.

80965440 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 80965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142829280).

80965440 is an abundant number, since it is smaller than the sum of its proper divisors (204693120).

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

80965440 is a wasteful number, since it uses less digits than its factorization.

80965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 80965440 is about 8998.0797951563. The cubic root of 80965440 is about 432.6133263567.

Adding to 80965440 its product of nonzero digits (34560), we get a square (81000000 = 90002).

The spelling of 80965440 in words is "eighty million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 9371 18742 28113 37484 46855 56226 74968 84339 93710 112452 140565 149936 168678 187420 224904 253017 281130 299872 337356 374840 421695 449808 506034 562260 599744 674712 749680 843390 899616 1012068 1124520 1265085 1349424 1499360 1686780 1799232 2024136 2249040 2530170 2698848 2998720 3373560 4048272 4498080 5060340 5397696 6747120 8096544 8996160 10120680 13494240 16193088 20241360 26988480 40482720 80965440