Search a number
-
+
11662056 = 23357857
BaseRepresentation
bin101100011111…
…001011101000
3210221111100000
4230133023220
510441141211
61053543000
7201061110
oct54371350
923844300
1011662056
11664596a
123aa4a60
132554233
141798040
151055656
hexb1f2e8

11662056 has 96 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3328128.

The previous prime is 11662043. The next prime is 11662093. The reversal of 11662056 is 65026611.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 13180 + ... + 14036.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 211662056 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 11662056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

11662056 is an abundant number, since it is smaller than the sum of its proper divisors (25815384).

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

11662056 is an equidigital number, since it uses as much as digits as its factorization.

11662056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11662056 is about 3414.9752561329. The cubic root of 11662056 is about 226.7731890706.

Adding to 11662056 its reverse (65026611), we get a palindrome (76688667).

The spelling of 11662056 in words is "eleven million, six hundred sixty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 857 972 1134 1512 1701 1714 1944 2268 2571 3402 3428 4536 5142 5999 6804 6856 7713 10284 11998 13608 15426 17997 20568 23139 23996 30852 35994 46278 47992 53991 61704 69417 71988 92556 107982 138834 143976 161973 185112 208251 215964 277668 323946 416502 431928 485919 555336 647892 833004 971838 1295784 1457757 1666008 1943676 2915514 3887352 5831028 11662056