Search a number
-
+
10947060 = 2232561997
BaseRepresentation
bin101001110000…
…100111110100
3202121011112200
4221300213310
510300301220
61030344500
7162022425
oct51604764
922534480
1010947060
1161a7763
1237bb130
132363967
14164d64c
15e63890
hexa709f4

10947060 has 72 divisors (see below), whose sum is σ = 33784296. Its totient is φ = 2868480.

The previous prime is 10947049. The next prime is 10947067. The reversal of 10947060 is 6074901.

10947060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 10419984 = 726^2 + 3228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10947067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10482 + ... + 11478.

Almost surely, 210947060 is an apocalyptic number.

10947060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10947060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892148).

10947060 is an abundant number, since it is smaller than the sum of its proper divisors (22837236).

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

10947060 is a wasteful number, since it uses less digits than its factorization.

10947060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10947060 is about 3308.6341592869. The cubic root of 10947060 is about 222.0406548383.

The spelling of 10947060 in words is "ten million, nine hundred forty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 997 1098 1220 1830 1994 2196 2745 2991 3660 3988 4985 5490 5982 8973 9970 10980 11964 14955 17946 19940 29910 35892 44865 59820 60817 89730 121634 179460 182451 243268 304085 364902 547353 608170 729804 912255 1094706 1216340 1824510 2189412 2736765 3649020 5473530 10947060