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423056560 = 245172771123
BaseRepresentation
bin11001001101110…
…101010010110000
31002111001111111111
4121031311102300
51331300302220
6105551323104
713324631023
oct3115652260
91074044444
10423056560
111a7893723
12b9820494
1369855034
14402871ba
152721a15a
hex193754b0

423056560 has 80 divisors (see below), whose sum is σ = 1046156256. Its totient is φ = 158552064.

The previous prime is 423056551. The next prime is 423056563. The reversal of 423056560 is 65650324.

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

It is not an unprimeable number, because it can be changed into a prime (423056563) 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, 376159 + ... + 377281.

Almost surely, 2423056560 is an apocalyptic number.

423056560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523078128).

423056560 is an abundant number, since it is smaller than the sum of its proper divisors (623099696).

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

423056560 is a wasteful number, since it uses less digits than its factorization.

423056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 423056560 is about 20568.3387758953. The cubic root of 423056560 is about 750.6995310426.

The spelling of 423056560 in words is "four hundred twenty-three million, fifty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 277 340 554 680 1108 1123 1360 1385 2216 2246 2770 4432 4492 4709 5540 5615 8984 9418 11080 11230 17968 18836 19091 22160 22460 23545 37672 38182 44920 47090 75344 76364 89840 94180 95455 152728 188360 190910 305456 311071 376720 381820 622142 763640 1244284 1527280 1555355 2488568 3110710 4977136 5288207 6221420 10576414 12442840 21152828 24885680 26441035 42305656 52882070 84611312 105764140 211528280 423056560