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5675112 = 2332232149
BaseRepresentation
bin10101101001100001101000
3101200022210100
4111221201220
52423100422
6321345400
766144342
oct25514150
911608710
105675112
113226883
121a98260
131239171
14a7a292
157717ac
hex569868

5675112 has 72 divisors (see below), whose sum is σ = 16175250. Its totient is φ = 1797312.

The previous prime is 5675107. The next prime is 5675119. The reversal of 5675112 is 2115765.

It can be written as a sum of positive squares in only one way, i.e., 5503716 + 171396 = 2346^2 + 414^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×56751123 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5675119) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38014 + ... + 38162.

Almost surely, 25675112 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 5675112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087625).

5675112 is an abundant number, since it is smaller than the sum of its proper divisors (10500138).

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

5675112 is a wasteful number, since it uses less digits than its factorization.

5675112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5675112 is about 2382.2493572252. The cubic root of 5675112 is about 178.3712321313.

The spelling of 5675112 in words is "five million, six hundred seventy-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 529 552 596 828 894 1058 1192 1341 1587 1656 1788 2116 2682 3174 3427 3576 4232 4761 5364 6348 6854 9522 10281 10728 12696 13708 19044 20562 27416 30843 38088 41124 61686 78821 82248 123372 157642 236463 246744 315284 472926 630568 709389 945852 1418778 1891704 2837556 5675112