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557230120 = 235434761113
BaseRepresentation
bin100001001101101…
…010100000101000
31102211112020000121
4201031222200220
52120122330440
6131143213024
716544243416
oct4115524050
91384466017
10557230120
112665a6267
12136747174
138b5a2385
14540122b6
1533dc034a
hex2136a828

557230120 has 128 divisors (see below), whose sum is σ = 1343485440. Its totient is φ = 207728640.

The previous prime is 557230117. The next prime is 557230123. The reversal of 557230120 is 21032755.

It is an interprime number because it is at equal distance from previous prime (557230117) and next prime (557230123).

It is not an unprimeable number, because it can be changed into a prime (557230123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4931184 + ... + 4931296.

It is an arithmetic number, because the mean of its divisors is an integer number (10495980).

Almost surely, 2557230120 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 557230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671742720).

557230120 is an abundant number, since it is smaller than the sum of its proper divisors (786255320).

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

557230120 is a wasteful number, since it uses less digits than its factorization.

557230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 557230120 is about 23605.7221876392. The cubic root of 557230120 is about 822.8958291606.

Adding to 557230120 its reverse (21032755), we get a palindrome (578262875).

The spelling of 557230120 in words is "five hundred fifty-seven million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 47 61 86 94 113 122 172 188 215 226 235 244 305 344 376 430 452 470 488 565 610 860 904 940 1130 1220 1720 1880 2021 2260 2440 2623 2867 4042 4520 4859 5246 5311 5734 6893 8084 9718 10105 10492 10622 11468 13115 13786 14335 16168 19436 20210 20984 21244 22936 24295 26230 26555 27572 28670 34465 38872 40420 42488 48590 52460 53110 55144 57340 68930 80840 97180 104920 106220 114680 123281 137860 194360 212440 228373 246562 275720 296399 323971 456746 493124 592798 616405 647942 913492 986248 1141865 1185596 1232810 1295884 1481995 1619855 1826984 2283730 2371192 2465620 2591768 2963990 3239710 4567460 4931240 5927980 6479420 9134920 11855960 12958840 13930753 27861506 55723012 69653765 111446024 139307530 278615060 557230120