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5233360 = 2451119313
BaseRepresentation
bin10011111101101011010000
3100211212211011
4103331223100
52314431420
6304100304
762324416
oct23755320
910755734
105233360
112a549a0
121904694
131113082
149a32b6
156d595a
hex4fdad0

5233360 has 80 divisors (see below), whose sum is σ = 14016960. Its totient is φ = 1797120.

The previous prime is 5233343. The next prime is 5233367. The reversal of 5233360 is 633325.

5233360 = T111 + T112 + ... + T319.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16564 + ... + 16876.

It is an arithmetic number, because the mean of its divisors is an integer number (175212).

Almost surely, 25233360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008480).

5233360 is an abundant number, since it is smaller than the sum of its proper divisors (8783600).

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

5233360 is a wasteful number, since it uses less digits than its factorization.

5233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 5233360 is about 2287.6538199649. The cubic root of 5233360 is about 173.6175154165.

Adding to 5233360 its reverse (633325), we get a palindrome (5866685).

It can be divided in two parts, 523 and 3360, that added together give a palindrome (3883).

The spelling of 5233360 in words is "five million, two hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 313 380 418 440 626 760 836 880 1045 1252 1520 1565 1672 2090 2504 3130 3344 3443 4180 5008 5947 6260 6886 8360 11894 12520 13772 16720 17215 23788 25040 27544 29735 34430 47576 55088 59470 65417 68860 95152 118940 130834 137720 237880 261668 275440 327085 475760 523336 654170 1046672 1308340 2616680 5233360