Search a number
-
+
1453120 = 26519239
BaseRepresentation
bin101100010110001000000
32201211022021
411202301000
5332444440
651051224
715231334
oct5426100
92654267
101453120
11902829
125a0b14
133bb546
1429b7c4
151da84a
hex162c40

1453120 has 56 divisors (see below), whose sum is σ = 3657600. Its totient is φ = 548352.

The previous prime is 1453093. The next prime is 1453129. The reversal of 1453120 is 213541.

It is a super-2 number, since 2×14531202 = 4223115468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1453094 and 1453103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453129) 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 7 ways as a sum of consecutive naturals, for example, 5961 + ... + 6199.

21453120 is an apocalyptic number.

1453120 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 1453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828800).

1453120 is an abundant number, since it is smaller than the sum of its proper divisors (2204480).

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

1453120 is a wasteful number, since it uses less digits than its factorization.

1453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1453120 is about 1205.4542712189. The cubic root of 1453120 is about 113.2662424907.

Adding to 1453120 its reverse (213541), we get a palindrome (1666661).

The spelling of 1453120 in words is "one million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 239 304 320 380 478 608 760 956 1195 1216 1520 1912 2390 3040 3824 4541 4780 6080 7648 9082 9560 15296 18164 19120 22705 36328 38240 45410 72656 76480 90820 145312 181640 290624 363280 726560 1453120