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557060240 = 245111933317
BaseRepresentation
bin100001001101000…
…001000010010000
31102211012120222202
4201031001002100
52120101411430
6131135422332
716542635222
oct4115010220
91384176882
10557060240
1126649a670
121366849a8
138b542c59
1453daa412
1533d89d45
hex21341090

557060240 has 80 divisors (see below), whose sum is σ = 1487315520. Its totient is φ = 191900160.

The previous prime is 557060239. The next prime is 557060243. The reversal of 557060240 is 42060755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5570602402 = 620632221977715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557060243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (18591444).

Almost surely, 2557060240 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 557060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743657760).

557060240 is an abundant number, since it is smaller than the sum of its proper divisors (930255280).

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

557060240 is a wasteful number, since it uses less digits than its factorization.

557060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33360 (or 33354 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 557060240 is about 23602.1236332666. The cubic root of 557060240 is about 822.8121965961.

The spelling of 557060240 in words is "five hundred fifty-seven million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 33317 66634 133268 166585 266536 333170 366487 533072 633023 666340 732974 1266046 1332680 1465948 1832435 2532092 2665360 2931896 3165115 3664870 5064184 5863792 6330230 6963253 7329740 10128368 12660460 13926506 14659480 25320920 27853012 29318960 34816265 50641840 55706024 69632530 111412048 139265060 278530120 557060240