Search a number
-
+
532541040 = 243519311497
BaseRepresentation
bin11111101111011…
…110111001110000
31101010001212222020
4133233132321300
52042312303130
6124502111440
716124344533
oct3757367160
91333055866
10532541040
11253672a69
1212a41b580
1386439855
1450a26a1a
1531b44e10
hex1fbdee70

532541040 has 80 divisors (see below), whose sum is σ = 1659575328. Its totient is φ = 141262848.

The previous prime is 532541029. The next prime is 532541083. The reversal of 532541040 is 40145235.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 532541040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40572 + ... + 52068.

Almost surely, 2532541040 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 532541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829787664).

532541040 is an abundant number, since it is smaller than the sum of its proper divisors (1127034288).

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

532541040 is a wasteful number, since it uses less digits than its factorization.

532541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 532541040 is about 23076.8507383482. The cubic root of 532541040 is about 810.5584930517.

Adding to 532541040 its reverse (40145235), we get a palindrome (572686275).

The spelling of 532541040 in words is "five hundred thirty-two million, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 7720 9264 11497 11580 15440 22994 23160 34491 45988 46320 57485 68982 91976 114970 137964 172455 183952 229940 275928 344910 459880 551856 689820 919760 1379640 2218921 2759280 4437842 6656763 8875684 11094605 13313526 17751368 22189210 26627052 33283815 35502736 44378420 53254104 66567630 88756840 106508208 133135260 177513680 266270520 532541040