Search a number
-
+
10690660 = 2253143401
BaseRepresentation
bin101000110010…
…000001100100
3202010010211101
4220302001210
510214100120
61021045444
7156604051
oct50620144
922103741
1010690660
116042062
1236b6884
1322a4046
1415c4028
15e1290a
hexa32064

10690660 has 48 divisors (see below), whose sum is σ = 23772672. Its totient is φ = 4032000.

The previous prime is 10690657. The next prime is 10690663. The reversal of 10690660 is 6609601.

10690660 = T455 + T456 + ... + T540.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10690657) and next prime (10690663).

It is a super-2 number, since 2×106906602 = 228580422471200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26460 + ... + 26860.

It is an arithmetic number, because the mean of its divisors is an integer number (495264).

Almost surely, 210690660 is an apocalyptic number.

10690660 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 10690660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886336).

10690660 is an abundant number, since it is smaller than the sum of its proper divisors (13082012).

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

10690660 is a wasteful number, since it uses less digits than its factorization.

10690660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10690660 is about 3269.6574744153. The cubic root of 10690660 is about 220.2934101629.

The spelling of 10690660 in words is "ten million, six hundred ninety thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 310 401 430 620 802 860 1333 1604 2005 2666 4010 5332 6665 8020 12431 13330 17243 24862 26660 34486 49724 62155 68972 86215 124310 172430 248620 344860 534533 1069066 2138132 2672665 5345330 10690660