Search a number
-
+
12453320 = 2351123183
BaseRepresentation
bin101111100000…
…010111001000
3212102200202002
4233200113020
511142001240
61122530132
7210565025
oct57402710
925380662
1012453320
117036400
124206948
132770439
14192254c
15115ed15
hexbe05c8

12453320 has 96 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 4329600.

The previous prime is 12453319. The next prime is 12453347. The reversal of 12453320 is 2335421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12453292 and 12453301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149999 + ... + 150081.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 212453320 is an apocalyptic number.

12453320 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 12453320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

12453320 is an abundant number, since it is smaller than the sum of its proper divisors (19722040).

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

12453320 is a wasteful number, since it uses less digits than its factorization.

12453320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 12453320 is about 3528.9261822827. The cubic root of 12453320 is about 231.7901888303.

Adding to 12453320 its reverse (2335421), we get a palindrome (14788741).

The spelling of 12453320 in words is "twelve million, four hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 83 88 110 121 124 155 166 220 242 248 310 332 341 415 440 484 605 620 664 682 830 913 968 1210 1240 1364 1660 1705 1826 2420 2573 2728 3320 3410 3652 3751 4565 4840 5146 6820 7304 7502 9130 10043 10292 12865 13640 15004 18260 18755 20086 20584 25730 28303 30008 36520 37510 40172 50215 51460 56606 75020 80344 100430 102920 113212 141515 150040 200860 226424 283030 311333 401720 566060 622666 1132120 1245332 1556665 2490664 3113330 6226660 12453320