Search a number
-
+
123341152 = 2511595939
BaseRepresentation
bin1110101101000…
…00100101100000
322121002101020211
413112200211200
5223033404102
620123343504
73025245124
oct726404540
9277071224
10123341152
1163694040
1235381b94
131c72693c
1412549584
15ac657d7
hex75a0960

123341152 has 48 divisors (see below), whose sum is σ = 269438400. Its totient is φ = 55104640.

The previous prime is 123341087. The next prime is 123341173. The reversal of 123341152 is 251143321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17799 + ... + 23737.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2123341152 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 123341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134719200).

123341152 is an abundant number, since it is smaller than the sum of its proper divisors (146097248).

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

123341152 is a wasteful number, since it uses less digits than its factorization.

123341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6011 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 123341152 is about 11105.9061764450. The cubic root of 123341152 is about 497.7783457925.

Adding to 123341152 its reverse (251143321), we get a palindrome (374484473).

The spelling of 123341152 in words is "one hundred twenty-three million, three hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2596 5192 5939 10384 11878 20768 23756 47512 65329 95024 130658 190048 261316 350401 522632 700802 1045264 1401604 2090528 2803208 3854411 5606416 7708822 11212832 15417644 30835288 61670576 123341152