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1297890 = 2335111923
BaseRepresentation
bin100111100110111100010
32102221101000
410330313202
5313013030
643452430
714013636
oct4746742
92387330
101297890
11807140
12527116
133659a9
1425adc6
151a9860
hex13cde2

1297890 has 128 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 285120.

The previous prime is 1297873. The next prime is 1297927. The reversal of 1297890 is 987921.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56419 + ... + 56441.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

21297890 is an apocalyptic number.

1297890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1297890 is the 570-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1297890 is an abundant number, since it is smaller than the sum of its proper divisors (2849310).

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

1297890 is a wasteful number, since it uses less digits than its factorization.

1297890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1297890 is about 1139.2497531270. The cubic root of 1297890 is about 109.0802091778.

It can be divided in two parts, 1297 and 890, that added together give a 7-th power (2187 = 37).

The spelling of 1297890 in words is "one million, two hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 23 27 30 33 38 45 46 54 55 57 66 69 90 95 99 110 114 115 135 138 165 171 190 198 207 209 230 253 270 285 297 330 342 345 414 418 437 495 506 513 570 594 621 627 690 759 855 874 990 1026 1035 1045 1242 1254 1265 1311 1485 1518 1710 1881 2070 2090 2185 2277 2530 2565 2622 2970 3105 3135 3762 3795 3933 4370 4554 4807 5130 5643 6210 6270 6555 6831 7590 7866 9405 9614 11286 11385 11799 13110 13662 14421 18810 19665 22770 23598 24035 28215 28842 34155 39330 43263 48070 56430 58995 68310 72105 86526 117990 129789 144210 216315 259578 432630 648945 1297890