Search a number
-
+
553102440 = 2335112231879
BaseRepresentation
bin100000111101111…
…010110001101000
31102112202111220120
4200331322301220
52113043234230
6130514523240
716464202362
oct4075726150
91375674816
10553102440
11264237060
12135296520
138a788667
1453659d32
1533857310
hex20f7ac68

553102440 has 128 divisors (see below), whose sum is σ = 1819238400. Its totient is φ = 133413120.

The previous prime is 553102427. The next prime is 553102447. The reversal of 553102440 is 44201355.

553102440 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

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 553102440.

It is not an unprimeable number, because it can be changed into a prime (553102447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293421 + ... + 295299.

It is an arithmetic number, because the mean of its divisors is an integer number (14212800).

Almost surely, 2553102440 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 553102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909619200).

553102440 is an abundant number, since it is smaller than the sum of its proper divisors (1266135960).

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

553102440 is a wasteful number, since it uses less digits than its factorization.

553102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2123 counting only the distinct ones).

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

The square root of 553102440 is about 23518.1300277042. The cubic root of 553102440 is about 820.8589254878.

Adding to 553102440 its reverse (44201355), we get a palindrome (597303795).

The spelling of 553102440 in words is "five hundred fifty-three million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 223 264 330 440 446 660 669 892 1115 1320 1338 1784 1879 2230 2453 2676 3345 3758 4460 4906 5352 5637 6690 7359 7516 8920 9395 9812 11274 12265 13380 14718 15032 18790 19624 20669 22548 24530 26760 28185 29436 36795 37580 41338 45096 49060 56370 58872 62007 73590 75160 82676 98120 103345 112740 124014 147180 165352 206690 225480 248028 294360 310035 413380 419017 496056 620070 826760 838034 1240140 1257051 1676068 2095085 2480280 2514102 3352136 4190170 4609187 5028204 6285255 8380340 9218374 10056408 12570510 13827561 16760680 18436748 23045935 25141020 27655122 36873496 46091870 50282040 55310244 69137805 92183740 110620488 138275610 184367480 276551220 553102440