[go: up one dir, main page]

Search a number
-
+
53230560 = 2535432579
BaseRepresentation
bin1100101100001…
…1101111100000
310201011101121020
43023003233200
5102111334220
65140525440
71214311065
oct313035740
9121141536
1053230560
11280579a9
12159b0880
13b049996
1470d8c6c
154a17040
hex32c3be0

53230560 has 96 divisors (see below), whose sum is σ = 171642240. Its totient is φ = 13859328.

The previous prime is 53230549. The next prime is 53230577. The reversal of 53230560 is 6503235.

53230560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53230560.

It is a congruent number.

It is an unprimeable number.

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, 19351 + ... + 21929.

It is an arithmetic number, because the mean of its divisors is an integer number (1787940).

Almost surely, 253230560 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 53230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85821120).

53230560 is an abundant number, since it is smaller than the sum of its proper divisors (118411680).

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

53230560 is a wasteful number, since it uses less digits than its factorization.

53230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 53230560 is about 7295.9276312200. The cubic root of 53230560 is about 376.1724725566.

Adding to 53230560 its reverse (6503235), we get a palindrome (59733795).

The spelling of 53230560 in words is "fifty-three million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2579 2580 3440 4128 5158 5160 6880 7737 10316 10320 12895 15474 20632 20640 25790 30948 38685 41264 51580 61896 77370 82528 103160 110897 123792 154740 206320 221794 247584 309480 332691 412640 443588 554485 618960 665382 887176 1108970 1237920 1330764 1663455 1774352 2217940 2661528 3326910 3548704 4435880 5323056 6653820 8871760 10646112 13307640 17743520 26615280 53230560