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557720020 = 22511131711471
BaseRepresentation
bin100001001111100…
…010000111010100
31102212110010001001
4201033202013110
52120234020040
6131201513044
716551353614
oct4117420724
91385403031
10557720020
11266900340
12136942784
138b714360
14540dca44
1533e6a59a
hex213e21d4

557720020 has 96 divisors (see below), whose sum is σ = 1457035776. Its totient is φ = 176179200.

The previous prime is 557720017. The next prime is 557720057. The reversal of 557720020 is 20027755.

It is a super-2 number, since 2×5577200202 = 622103241417600800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 42885 + ... + 54355.

It is an arithmetic number, because the mean of its divisors is an integer number (15177456).

Almost surely, 2557720020 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 557720020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728517888).

557720020 is an abundant number, since it is smaller than the sum of its proper divisors (899315756).

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

557720020 is a wasteful number, since it uses less digits than its factorization.

557720020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11521 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 557720020 is about 23616.0966292061. The cubic root of 557720020 is about 823.1369136295.

Adding to 557720020 its reverse (20027755), we get a palindrome (577747775).

The spelling of 557720020 in words is "five hundred fifty-seven million, seven hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 340 374 442 572 715 748 884 935 1105 1430 1870 2210 2431 2860 3740 4420 4862 9724 11471 12155 22942 24310 45884 48620 57355 114710 126181 149123 195007 229420 252362 298246 390014 504724 596492 630905 745615 780028 975035 1261810 1491230 1640353 1950070 2145077 2523620 2535091 2982460 3280706 3900140 4290154 5070182 6561412 8201765 8580308 10140364 10725385 12675455 16403530 21450770 25350910 27886001 32807060 42901540 50701820 55772002 111544004 139430005 278860010 557720020