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5307040 = 25541809
BaseRepresentation
bin10100001111101010100000
3100222121220001
4110033222200
52324311130
6305425344
763052264
oct24175240
910877801
105307040
112aa5292
12193b254
13113a77b
149c20a4
156ec6ca
hex50faa0

5307040 has 48 divisors (see below), whose sum is σ = 12859560. Its totient is φ = 2068480.

The previous prime is 5307011. The next prime is 5307053. The reversal of 5307040 is 407035.

5307040 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 3952144 + 1354896 = 1988^2 + 1164^2 .

It is an Ulam number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5306999 and 5307017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6156 + ... + 6964.

Almost surely, 25307040 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 5307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429780).

5307040 is an abundant number, since it is smaller than the sum of its proper divisors (7552520).

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

5307040 is a wasteful number, since it uses less digits than its factorization.

5307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 5307040 is about 2303.7013695356. The cubic root of 5307040 is about 174.4285030427.

The spelling of 5307040 in words is "five million, three hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 809 820 1312 1618 1640 3236 3280 4045 6472 6560 8090 12944 16180 25888 32360 33169 64720 66338 129440 132676 165845 265352 331690 530704 663380 1061408 1326760 2653520 5307040