Search a number
-
+
11455950 = 23521153131
BaseRepresentation
bin101011101100…
…110111001110
3210120000121110
4223230313032
510413042300
61045312450
7166242162
oct53546716
923500543
1011455950
116515030
123a05726
1324b148c
141742ca2
151014550
hexaecdce

11455950 has 96 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 2704000.

The previous prime is 11455937. The next prime is 11455979. The reversal of 11455950 is 5955411.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87385 + ... + 87515.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 211455950 is an apocalyptic number.

11455950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

11455950 is an abundant number, since it is smaller than the sum of its proper divisors (20363442).

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

11455950 is a wasteful number, since it uses less digits than its factorization.

11455950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 11455950 is about 3384.6639419594. The cubic root of 11455950 is about 225.4293038169.

The spelling of 11455950 in words is "eleven million, four hundred fifty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 53 55 66 75 106 110 131 150 159 165 262 265 275 318 330 393 530 550 583 655 786 795 825 1166 1310 1325 1441 1590 1650 1749 1965 2650 2882 2915 3275 3498 3930 3975 4323 5830 6550 6943 7205 7950 8646 8745 9825 13886 14410 14575 17490 19650 20829 21615 29150 34715 36025 41658 43230 43725 69430 72050 76373 87450 104145 108075 152746 173575 208290 216150 229119 347150 381865 458238 520725 763730 1041450 1145595 1909325 2291190 3818650 5727975 11455950