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80206920 = 23325317187
BaseRepresentation
bin1001100011111…
…01110001001000
312120220221012200
410301331301020
5131013110140
611543040200
71662514263
oct461756110
9176827180
1080206920
1141302712
1222a40060
1313803621
14a91bcda
157095030
hex4c7dc48

80206920 has 96 divisors (see below), whose sum is σ = 269118720. Its totient is φ = 20695680.

The previous prime is 80206913. The next prime is 80206933. The reversal of 80206920 is 2960208.

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 23 ways as a sum of consecutive naturals, for example, 7567 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (2803320).

Almost surely, 280206920 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 80206920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134559360).

80206920 is an abundant number, since it is smaller than the sum of its proper divisors (188911800).

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

80206920 is a wasteful number, since it uses less digits than its factorization.

80206920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80206920 is about 8955.8316196766. The cubic root of 80206920 is about 431.2581145291.

The spelling of 80206920 in words is "eighty million, two hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 7187 11160 14374 21561 28748 35935 43122 57496 64683 71870 86244 107805 129366 143740 172488 215610 222797 258732 287480 323415 431220 445594 517464 646830 668391 862440 891188 1113985 1293660 1336782 1782376 2005173 2227970 2587320 2673564 3341955 4010346 4455940 5347128 6683910 8020692 8911880 10025865 13367820 16041384 20051730 26735640 40103460 80206920