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1232280 = 233357163
BaseRepresentation
bin100101100110110011000
32022121101000
410230312120
5303413110
642225000
713321440
oct4546630
92277330
101232280
11771915
124b5160
13341b7a
14241120
151951c0
hex12cd98

1232280 has 128 divisors (see below), whose sum is σ = 4723200. Its totient is φ = 279936.

The previous prime is 1232269. The next prime is 1232291. The reversal of 1232280 is 822321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1232269) and next prime (1232291).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7479 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

21232280 is an apocalyptic number.

1232280 is a gapful number since it is divisible by the number (10) 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 1232280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361600).

1232280 is an abundant number, since it is smaller than the sum of its proper divisors (3490920).

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

1232280 is a wasteful number, since it uses less digits than its factorization.

1232280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1232280 is about 1110.0810781200. The cubic root of 1232280 is about 107.2102889805.

The spelling of 1232280 in words is "one million, two hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 163 168 180 189 210 216 252 270 280 315 326 360 378 420 489 504 540 630 652 756 815 840 945 978 1080 1141 1260 1304 1467 1512 1630 1890 1956 2282 2445 2520 2934 3260 3423 3780 3912 4401 4564 4890 5705 5868 6520 6846 7335 7560 8802 9128 9780 10269 11410 11736 13692 14670 17115 17604 19560 20538 22005 22820 27384 29340 30807 34230 35208 41076 44010 45640 51345 58680 61614 68460 82152 88020 102690 123228 136920 154035 176040 205380 246456 308070 410760 616140 1232280