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5717920 = 255132749
BaseRepresentation
bin10101110011111110100000
3101202111111211
4111303332200
52430433140
6322315504
766413215
oct25637640
911674454
105717920
113255a5a
121ab8b94
1312527b0
14a8bb0c
1577e2ea
hex573fa0

5717920 has 48 divisors (see below), whose sum is σ = 14553000. Its totient is φ = 2110464.

The previous prime is 5717909. The next prime is 5717927. The reversal of 5717920 is 297175.

5717920 = 2642 + 2652 + ... + 3282.

It can be written as a sum of positive squares in 4 ways, for example, as 2347024 + 3370896 = 1532^2 + 1836^2 .

It is not an unprimeable number, because it can be changed into a prime (5717927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 706 + ... + 3454.

Almost surely, 25717920 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 5717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276500).

5717920 is an abundant number, since it is smaller than the sum of its proper divisors (8835080).

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

5717920 is a wasteful number, since it uses less digits than its factorization.

5717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 5717920 is about 2391.2172632364. The cubic root of 5717920 is about 178.8186004969.

The spelling of 5717920 in words is "five million, seven hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2749 5498 10996 13745 21992 27490 35737 43984 54980 71474 87968 109960 142948 178685 219920 285896 357370 439840 571792 714740 1143584 1429480 2858960 5717920