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80820680 = 23519229193
BaseRepresentation
bin1001101000100…
…11100111001000
312122002010010112
410310103213020
5131142230210
612004133452
72000651543
oct464234710
9178063115
1080820680
1141691856
1223097288
1313989ab5
14aa3b85a
157166d05
hex4d139c8

80820680 has 96 divisors (see below), whose sum is σ = 199567800. Its totient is φ = 29417472.

The previous prime is 80820679. The next prime is 80820697. The reversal of 80820680 is 8602808.

It can be written as a sum of positive squares in 4 ways, for example, as 56040196 + 24780484 = 7486^2 + 4978^2 .

It is a congruent number.

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, 418664 + ... + 418856.

Almost surely, 280820680 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 80820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99783900).

80820680 is an abundant number, since it is smaller than the sum of its proper divisors (118747120).

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

80820680 is a wasteful number, since it uses less digits than its factorization.

80820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 80820680 is about 8990.0322580066. The cubic root of 80820680 is about 432.3553460579.

The spelling of 80820680 in words is "eighty million, eight hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 193 232 290 361 380 386 551 580 722 760 772 965 1102 1160 1444 1544 1805 1930 2204 2755 2888 3610 3667 3860 4408 5510 5597 7220 7334 7720 10469 11020 11194 14440 14668 18335 20938 22040 22388 27985 29336 36670 41876 44776 52345 55970 69673 73340 83752 104690 106343 111940 139346 146680 209380 212686 223880 278692 348365 418760 425372 531715 557384 696730 850744 1063430 1393460 2020517 2126860 2786920 4041034 4253720 8082068 10102585 16164136 20205170 40410340 80820680