Search a number
-
+
10670128 = 247472027
BaseRepresentation
bin101000101101…
…000000110000
3202002002122221
4220231000300
510212421003
61020410424
7156460150
oct50550060
922062587
1010670128
116028697
1236a6a14
1322978b1
1415ba760
15e0b7bd
hexa2d030

10670128 has 40 divisors (see below), whose sum is σ = 24141312. Its totient is φ = 4473408.

The previous prime is 10670123. The next prime is 10670129. The reversal of 10670128 is 82107601.

It is a super-2 number, since 2×106701282 = 227703263072768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10670123) 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, 4251 + ... + 6277.

Almost surely, 210670128 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 10670128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070656).

10670128 is an abundant number, since it is smaller than the sum of its proper divisors (13471184).

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

10670128 is a wasteful number, since it uses less digits than its factorization.

10670128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10670128 is about 3266.5161870103. The cubic root of 10670128 is about 220.1522912489.

Adding to 10670128 its reverse (82107601), we get a palindrome (92777729).

The spelling of 10670128 in words is "ten million, six hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2027 2632 4054 5264 8108 14189 16216 28378 32432 56756 95269 113512 190538 227024 381076 666883 762152 1333766 1524304 2667532 5335064 10670128