Search a number
-
+
10545660 = 2233559331
BaseRepresentation
bin101000001110…
…100111111100
3201211202221000
4220032213330
510144430120
61014010300
7155431236
oct50164774
921752830
1010545660
115a53124
123646990
132253048
141587256
15dd4990
hexa0e9fc

10545660 has 96 divisors (see below), whose sum is σ = 33465600. Its totient is φ = 2756160.

The previous prime is 10545659. The next prime is 10545721. The reversal of 10545660 is 6654501.

It is a happy number.

It is a super-2 number, since 2×105456602 = 222421889671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31695 + ... + 32025.

It is an arithmetic number, because the mean of its divisors is an integer number (348600).

Almost surely, 210545660 is an apocalyptic number.

10545660 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 10545660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732800).

10545660 is an abundant number, since it is smaller than the sum of its proper divisors (22919940).

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

10545660 is a wasteful number, since it uses less digits than its factorization.

10545660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 10545660 is about 3247.4081973167. The cubic root of 10545660 is about 219.2929088715.

The spelling of 10545660 in words is "ten million, five hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 331 354 531 540 590 662 708 885 993 1062 1180 1324 1593 1655 1770 1986 2124 2655 2979 3186 3310 3540 3972 4965 5310 5958 6372 6620 7965 8937 9930 10620 11916 14895 15930 17874 19529 19860 29790 31860 35748 39058 44685 58587 59580 78116 89370 97645 117174 175761 178740 195290 234348 292935 351522 390580 527283 585870 703044 878805 1054566 1171740 1757610 2109132 2636415 3515220 5272830 10545660