Search a number
-
+
1223520 = 25352549
BaseRepresentation
bin100101010101101100000
32022011100120
410222231200
5303123040
642120240
713254054
oct4525540
92264316
101223520
11766281
124b0080
1333ab9c
1423bc64
151927d0
hex12ab60

1223520 has 48 divisors (see below), whose sum is σ = 3855600. Its totient is φ = 326144.

The previous prime is 1223491. The next prime is 1223527. The reversal of 1223520 is 253221.

Adding to 1223520 its reverse (253221), we get a palindrome (1476741).

Subtracting from 1223520 its reverse (253221), we obtain a cube (970299 = 993).

It can be divided in two parts, 12 and 23520, that added together give a palindrome (23532).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1223520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 1754.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

21223520 is an apocalyptic number.

1223520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223520 is an abundant number, since it is smaller than the sum of its proper divisors (2632080).

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

1223520 is a wasteful number, since it uses less digits than its factorization.

1223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1223520 is about 1106.1283831455. The cubic root of 1223520 is about 106.9556400391.

The spelling of 1223520 in words is "one million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2549 5098 7647 10196 12745 15294 20392 25490 30588 38235 40784 50980 61176 76470 81568 101960 122352 152940 203920 244704 305880 407840 611760 1223520