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80969000 = 2353743269
BaseRepresentation
bin1001101001101…
…11110100101000
312122100122120212
410310313310220
5131212002000
612011240252
72002140140
oct464676450
9178318525
1080969000
1141783232
1223149088
1313a0c468
14aa79920
157195c35
hex4d37d28

80969000 has 128 divisors (see below), whose sum is σ = 222393600. Its totient is φ = 27014400.

The previous prime is 80968999. The next prime is 80969003. The reversal of 80969000 is 96908.

It is a happy number.

It is a super-2 number, since 2×809690002 = 13111957922000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80969003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300866 + ... + 301134.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 280969000 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 80969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111196800).

80969000 is an abundant number, since it is smaller than the sum of its proper divisors (141424600).

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

80969000 is a wasteful number, since it uses less digits than its factorization.

80969000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 80969000 is about 8998.2776129657. The cubic root of 80969000 is about 432.6196668433.

The spelling of 80969000 in words is "eighty million, nine hundred sixty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 269 280 301 344 350 430 500 538 602 700 860 875 1000 1075 1076 1204 1345 1400 1505 1720 1750 1883 2150 2152 2408 2690 3010 3500 3766 4300 5375 5380 6020 6725 7000 7525 7532 8600 9415 10750 10760 11567 12040 13450 15050 15064 18830 21500 23134 26900 30100 33625 37625 37660 43000 46268 47075 53800 57835 60200 67250 75250 75320 80969 92536 94150 115670 134500 150500 161938 188300 231340 235375 269000 289175 301000 323876 376600 404845 462680 470750 578350 647752 809690 941500 1156700 1445875 1619380 1883000 2024225 2313400 2891750 3238760 4048450 5783500 8096900 10121125 11567000 16193800 20242250 40484500 80969000