Search a number
-
+
1352280 = 233559191
BaseRepresentation
bin101001010001001011000
32112200222110
411022021120
5321233110
644552320
714331336
oct5121130
92480873
101352280
11843a96
125526a0
13384687
14272b56
151baa20
hex14a258

1352280 has 64 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 352640.

The previous prime is 1352279. The next prime is 1352291. The reversal of 1352280 is 822531.

It is a super-2 number, since 2×13522802 = 3657322396800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (64800).

21352280 is an apocalyptic number.

1352280 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 1352280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1352280 is an abundant number, since it is smaller than the sum of its proper divisors (2794920).

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

1352280 is a wasteful number, since it uses less digits than its factorization.

1352280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1352280 is about 1162.8757457269. The cubic root of 1352280 is about 110.5831291636.

It can be divided in two parts, 135 and 2280, that added together give a triangular number (2415 = T69).

The spelling of 1352280 in words is "one million, three hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 191 236 295 354 382 472 573 590 708 764 885 955 1146 1180 1416 1528 1770 1910 2292 2360 2865 3540 3820 4584 5730 7080 7640 11269 11460 22538 22920 33807 45076 56345 67614 90152 112690 135228 169035 225380 270456 338070 450760 676140 1352280