Search a number
-
+
10706608 = 2411127479
BaseRepresentation
bin101000110101…
…111010110000
3202010221201001
4220311322300
510220102413
61021251344
7160001413
oct50657260
922127631
1010706608
116053040
123703b54
1322ab393
1415c9b7a
15e174dd
hexa35eb0

10706608 has 40 divisors (see below), whose sum is σ = 22855680. Its totient is φ = 4818240.

The previous prime is 10706603. The next prime is 10706621. The reversal of 10706608 is 80660701.

10706608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107066082 = 229262909731328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10706603) 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, 22113 + ... + 22591.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 210706608 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 10706608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427840).

10706608 is an abundant number, since it is smaller than the sum of its proper divisors (12149072).

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

10706608 is a wasteful number, since it uses less digits than its factorization.

10706608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10706608 is about 3272.0953531338. The cubic root of 10706608 is about 220.4028980639.

The spelling of 10706608 in words is "ten million, seven hundred six thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 479 508 958 1016 1397 1916 2032 2794 3832 5269 5588 7664 10538 11176 21076 22352 42152 60833 84304 121666 243332 486664 669163 973328 1338326 2676652 5353304 10706608