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80068900 = 22524159331
BaseRepresentation
bin1001100010111…
…00000100100100
312120122220212211
410301130010210
5130444201100
611540053204
71661401012
oct461340444
9176586784
1080068900
1141218a4a
1222994204
1313785862
14a8c38b2
1570691ba
hex4c5c124

80068900 has 72 divisors (see below), whose sum is σ = 181550880. Its totient is φ = 30624000.

The previous prime is 80068889. The next prime is 80068927. The reversal of 80068900 is 986008.

It is a super-2 number, since 2×800689002 = 12822057494420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241735 + ... + 242065.

It is an arithmetic number, because the mean of its divisors is an integer number (2521540).

Almost surely, 280068900 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 80068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90775440).

80068900 is an abundant number, since it is smaller than the sum of its proper divisors (101481980).

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

80068900 is a wasteful number, since it uses less digits than its factorization.

80068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 80068900 is about 8948.1227081439. The cubic root of 80068900 is about 431.0106029695.

The spelling of 80068900 in words is "eighty million, sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 59 82 100 118 164 205 236 295 331 410 590 662 820 1025 1180 1324 1475 1655 2050 2419 2950 3310 4100 4838 5900 6620 8275 9676 12095 13571 16550 19529 24190 27142 33100 39058 48380 54284 60475 67855 78116 97645 120950 135710 195290 241900 271420 339275 390580 488225 678550 800689 976450 1357100 1601378 1952900 3202756 4003445 8006890 16013780 20017225 40034450 80068900