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270196880 = 24589137277
BaseRepresentation
bin10000000110101…
…110000010010000
3200211102102102212
4100012232002100
51023132300010
642451131252
76460431002
oct2006560220
9624372385
10270196880
11129578a08
12765a3b28
1343c94615
1427c56372
1518ac3505
hex101ae090

270196880 has 80 divisors (see below), whose sum is σ = 642213360. Its totient is φ = 105701376.

The previous prime is 270196873. The next prime is 270196889. The reversal of 270196880 is 88691072.

It can be written as a sum of positive squares in 8 ways, for example, as 35617024 + 234579856 = 5968^2 + 15316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (270196889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975302 + ... + 975578.

It is an arithmetic number, because the mean of its divisors is an integer number (8027667).

Almost surely, 2270196880 is an apocalyptic number.

270196880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321106680).

270196880 is an abundant number, since it is smaller than the sum of its proper divisors (372016480).

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

270196880 is a wasteful number, since it uses less digits than its factorization.

270196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 270196880 is about 16437.6665010579. Note that the first 3 decimals coincide. The cubic root of 270196880 is about 646.4874670263.

The spelling of 270196880 in words is "two hundred seventy million, one hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 137 178 274 277 356 445 548 554 685 712 890 1096 1108 1370 1385 1424 1780 2192 2216 2740 2770 3560 4432 5480 5540 7120 10960 11080 12193 22160 24386 24653 37949 48772 49306 60965 75898 97544 98612 121930 123265 151796 189745 195088 197224 243860 246530 303592 379490 394448 487720 493060 607184 758980 975440 986120 1517960 1972240 3035920 3377461 6754922 13509844 16887305 27019688 33774610 54039376 67549220 135098440 270196880