Search a number
-
+
16059040 = 255293461
BaseRepresentation
bin111101010000…
…101010100000
31010012212212021
4331100222200
513102342130
61332111224
7253333234
oct75205240
933185767
1016059040
119079438
125465514
1334336ba
1421c05c4
15162337a
hexf50aa0

16059040 has 48 divisors (see below), whose sum is σ = 39259080. Its totient is φ = 6200320.

The previous prime is 16059019. The next prime is 16059049. The reversal of 16059040 is 4095061.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 5326864 = 3276^2 + 2308^2 .

16059040 is a modest number, since divided by 59040 gives 160 as remainder.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 16058996 and 16059014.

It is not an unprimeable number, because it can be changed into a prime (16059049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2910 + ... + 6370.

Almost surely, 216059040 is an apocalyptic number.

16059040 is a gapful number since it is divisible by the number (10) 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 16059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629540).

16059040 is an abundant number, since it is smaller than the sum of its proper divisors (23200040).

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

16059040 is a wasteful number, since it uses less digits than its factorization.

16059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 16059040 is about 4007.3732044820. The cubic root of 16059040 is about 252.2937701099.

The spelling of 16059040 in words is "sixteen million, fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 3461 4640 6922 13844 17305 27688 34610 55376 69220 100369 110752 138440 200738 276880 401476 501845 553760 802952 1003690 1605904 2007380 3211808 4014760 8029520 16059040