Search a number
-
+
555205420 = 2257112811283
BaseRepresentation
bin100001000101111…
…100001100101100
31102200201100122201
4201011330030230
52114113033140
6131031551244
716521111460
oct4105741454
91380640581
10555205420
11265443060
12135b2b524
138b043923
1453a464a0
1533b2049a
hex2117c32c

555205420 has 96 divisors (see below), whose sum is σ = 1459938816. Its totient is φ = 172300800.

The previous prime is 555205393. The next prime is 555205421. The reversal of 555205420 is 24502555.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (555205421) 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 31 ways as a sum of consecutive naturals, for example, 432099 + ... + 433381.

It is an arithmetic number, because the mean of its divisors is an integer number (15207696).

Almost surely, 2555205420 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 555205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729969408).

555205420 is an abundant number, since it is smaller than the sum of its proper divisors (904733396).

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

555205420 is a wasteful number, since it uses less digits than its factorization.

555205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 555205420 is about 23562.7973721288. The cubic root of 555205420 is about 821.8979534424.

Adding to 555205420 its reverse (24502555), we get a palindrome (579707975).

The spelling of 555205420 in words is "five hundred fifty-five million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 281 308 385 562 770 1124 1283 1405 1540 1967 2566 2810 3091 3934 5132 5620 6182 6415 7868 8981 9835 12364 12830 14113 15455 17962 19670 21637 25660 28226 30910 35924 39340 43274 44905 56452 61820 70565 86548 89810 98791 108185 141130 179620 197582 216370 282260 360523 395164 432740 493955 721046 987910 1442092 1802615 1975820 2523661 3605230 3965753 5047322 7210460 7931506 10094644 12618305 15863012 19828765 25236610 27760271 39657530 50473220 55520542 79315060 111041084 138801355 277602710 555205420