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5606016 = 273131123
BaseRepresentation
bin10101011000101010000000
3101112211000020
4111120222000
52413343031
6320053440
765436033
oct25305200
911484006
105606016
113189979
121a64280
131213890
14a5d01a
1575b096
hex558a80

5606016 has 64 divisors (see below), whose sum is σ = 16050720. Its totient is φ = 1723392.

The previous prime is 5606011. The next prime is 5606033. The reversal of 5606016 is 6106065.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5606011) 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, 4431 + ... + 5553.

Almost surely, 25606016 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 5606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8025360).

5606016 is an abundant number, since it is smaller than the sum of its proper divisors (10444704).

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

5606016 is a wasteful number, since it uses less digits than its factorization.

5606016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5606016 is about 2367.7026840378. The cubic root of 5606016 is about 177.6443684295.

The spelling of 5606016 in words is "five million, six hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1123 1248 1664 2246 2496 3369 4492 4992 6738 8984 13476 14599 17968 26952 29198 35936 43797 53904 58396 71872 87594 107808 116792 143744 175188 215616 233584 350376 431232 467168 700752 934336 1401504 1868672 2803008 5606016