Search a number
-
+
1351728 = 24347149
BaseRepresentation
bin101001010000000110000
32112200020000
411022000300
5321223403
644550000
714326620
oct5120060
92480200
101351728
11843634
12552300
13384351
14272880
151ba7a3
hex14a030

1351728 has 100 divisors (see below), whose sum is σ = 4501200. Its totient is φ = 383616.

The previous prime is 1351711. The next prime is 1351747. The reversal of 1351728 is 8271531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8998 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (45012).

21351728 is an apocalyptic number.

1351728 is a gapful number since it is divisible by the number (18) 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 1351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250600).

1351728 is an abundant number, since it is smaller than the sum of its proper divisors (3149472).

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

1351728 is a wasteful number, since it uses less digits than its factorization.

1351728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1351728 is about 1162.6383788608. The cubic root of 1351728 is about 110.5680804570.

The spelling of 1351728 in words is "one million, three hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 149 162 168 189 216 252 298 324 336 378 432 447 504 567 596 648 756 894 1008 1043 1134 1192 1296 1341 1512 1788 2086 2268 2384 2682 3024 3129 3576 4023 4172 4536 5364 6258 7152 8046 8344 9072 9387 10728 12069 12516 16092 16688 18774 21456 24138 25032 28161 32184 37548 48276 50064 56322 64368 75096 84483 96552 112644 150192 168966 193104 225288 337932 450576 675864 1351728