Search a number
-
+
1413280 = 25511273
BaseRepresentation
bin101011001000010100000
32122210122201
411121002200
5330211110
650142544
715004231
oct5310240
92583581
101413280
11885900
12581a54
133a637b
1428b088
151cdb3a
hex1590a0

1413280 has 72 divisors (see below), whose sum is σ = 3720276. Its totient is φ = 506880.

The previous prime is 1413271. The next prime is 1413283. The reversal of 1413280 is 823141.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 1936 = 1188^2 + 44^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1413283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19324 + ... + 19396.

21413280 is an apocalyptic number.

1413280 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 1413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860138).

1413280 is an abundant number, since it is smaller than the sum of its proper divisors (2306996).

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

1413280 is a wasteful number, since it uses less digits than its factorization.

1413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1413280 is about 1188.8145355774. The cubic root of 1413280 is about 112.2215004292.

The spelling of 1413280 in words is "one million, four hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 73 80 88 110 121 146 160 176 220 242 292 352 365 440 484 584 605 730 803 880 968 1168 1210 1460 1606 1760 1936 2336 2420 2920 3212 3872 4015 4840 5840 6424 8030 8833 9680 11680 12848 16060 17666 19360 25696 32120 35332 44165 64240 70664 88330 128480 141328 176660 282656 353320 706640 1413280