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553063060 = 2251123293769
BaseRepresentation
bin100000111101110…
…001001010010100
31102112200111220001
4200331301022110
52113041004220
6130514021044
716463646514
oct4075611224
91375614801
10553063060
1126420a510
12135277784
138a773764
1453649844
153384a80a
hex20f71294

553063060 has 96 divisors (see below), whose sum is σ = 1368057600. Its totient is φ = 185687040.

The previous prime is 553063051. The next prime is 553063081. The reversal of 553063060 is 60360355.

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, 144856 + ... + 148624.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600).

Almost surely, 2553063060 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 553063060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684028800).

553063060 is an abundant number, since it is smaller than the sum of its proper divisors (814994540).

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

553063060 is a wasteful number, since it uses less digits than its factorization.

553063060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

The square root of 553063060 is about 23517.2927863732. The cubic root of 553063060 is about 820.8394437491.

The spelling of 553063060 in words is "five hundred fifty-three million, sixty-three thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 3769 5060 6380 6670 7337 7538 13340 14674 15076 18845 29348 36685 37690 41459 73370 75380 82918 86687 109301 146740 165836 173374 207295 218602 346748 414590 433435 437204 546505 829180 866870 953557 1093010 1202311 1733740 1907114 2186020 2404622 2513923 3814228 4767785 4809244 5027846 6011555 9535570 10055692 12023110 12569615 19071140 24046220 25139230 27653153 50278460 55306306 110612612 138265765 276531530 553063060