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5708016 = 243373181
BaseRepresentation
bin10101110001100011110000
3101201222221000
4111301203300
52430124031
6322202000
766342306
oct25614360
911658830
105708016
113249576
121ab3300
13124b132
14a88276
1577b3e6
hex5718f0

5708016 has 80 divisors (see below), whose sum is σ = 16700320. Its totient is φ = 1866240.

The previous prime is 5708011. The next prime is 5708029. The reversal of 5708016 is 6108075.

5708016 is a `hidden beast` number, since 570 + 80 + 16 = 666.

5708016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5708011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31446 + ... + 31626.

It is an arithmetic number, because the mean of its divisors is an integer number (208754).

Almost surely, 25708016 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 5708016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8350160).

5708016 is an abundant number, since it is smaller than the sum of its proper divisors (10992304).

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

5708016 is a wasteful number, since it uses less digits than its factorization.

5708016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5708016 is about 2389.1454539228. The cubic root of 5708016 is about 178.7152970269.

The spelling of 5708016 in words is "five million, seven hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 181 216 219 292 362 432 438 543 584 657 724 876 1086 1168 1314 1448 1629 1752 1971 2172 2628 2896 3258 3504 3942 4344 4887 5256 6516 7884 8688 9774 10512 13032 13213 15768 19548 26064 26426 31536 39096 39639 52852 78192 79278 105704 118917 158556 211408 237834 317112 356751 475668 634224 713502 951336 1427004 1902672 2854008 5708016