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4927120 = 245112509
BaseRepresentation
bin10010110010111010010000
3100021022201221
4102302322100
52230131440
6253334424
756610532
oct22627220
910238657
104927120
112865900
121797414
131036873
14923852
15674d4a
hex4b2e90

4927120 has 60 divisors (see below), whose sum is σ = 12616380. Its totient is φ = 1788160.

The previous prime is 4927103. The next prime is 4927121. The reversal of 4927120 is 217294.

4927120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 1982464 = 1716^2 + 1408^2 .

It is a super-2 number, since 2×49271202 = 48553022988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4927121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9426 + ... + 9934.

It is an arithmetic number, because the mean of its divisors is an integer number (210273).

Almost surely, 24927120 is an apocalyptic number.

4927120 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 4927120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308190).

4927120 is an abundant number, since it is smaller than the sum of its proper divisors (7689260).

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

4927120 is a wasteful number, since it uses less digits than its factorization.

4927120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4927120 is about 2219.7116929908. The cubic root of 4927120 is about 170.1627046662.

The spelling of 4927120 in words is "four million, nine hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 509 605 880 968 1018 1210 1936 2036 2420 2545 4072 4840 5090 5599 8144 9680 10180 11198 20360 22396 27995 40720 44792 55990 61589 89584 111980 123178 223960 246356 307945 447920 492712 615890 985424 1231780 2463560 4927120