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80128400 = 24521118211
BaseRepresentation
bin1001100011010…
…10100110010000
312120202221111112
410301222212100
5131003102100
611541232452
71662036332
oct461524620
9176687445
1080128400
1141259720
1222a02728
13137a6971
14a8db452
15707bb35
hex4c6a990

80128400 has 60 divisors (see below), whose sum is σ = 210020784. Its totient is φ = 29136000.

The previous prime is 80128387. The next prime is 80128427. The reversal of 80128400 is 482108.

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 11 ways as a sum of consecutive naturals, for example, 4706 + ... + 13505.

Almost surely, 280128400 is an apocalyptic number.

80128400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80128400 is an abundant number, since it is smaller than the sum of its proper divisors (129892384).

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

80128400 is a wasteful number, since it uses less digits than its factorization.

80128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18240 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 80128400 is about 8951.4468104324. The cubic root of 80128400 is about 431.1173392974.

The spelling of 80128400 in words is "eighty million, one hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 18211 36422 72844 91055 145688 182110 200321 291376 364220 400642 455275 728440 801284 910550 1001605 1456880 1602568 1821100 2003210 3205136 3642200 4006420 5008025 7284400 8012840 10016050 16025680 20032100 40064200 80128400