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123552 = 25331113
BaseRepresentation
bin11110001010100000
320021111000
4132022200
512423202
62352000
71023132
oct361240
9207430
10123552
1184910
125b600
1344310
1433052
152691c
hex1e2a0

123552 has 96 divisors (see below), whose sum is σ = 423360. Its totient is φ = 34560.

The previous prime is 123551. The next prime is 123553. The reversal of 123552 is 255321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123551) and next prime (123553).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (123551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9498 + ... + 9510.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2123552 is an apocalyptic number.

123552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 351×352.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

123552 is an abundant number, since it is smaller than the sum of its proper divisors (299808).

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

123552 is a wasteful number, since it uses less digits than its factorization.

123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 123552 is about 351.4996443810. The cubic root of 123552 is about 49.8061830035.

Adding to 123552 its reverse (255321), we get a palindrome (378873).

Subtracting 123552 from its reverse (255321), we obtain a square (131769 = 3632).

It can be divided in two parts, 123 and 552, that multiplied together give a triangular number (67896 = T368).

The spelling of 123552 in words is "one hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 88 96 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 288 297 312 351 352 396 416 429 432 468 528 572 594 624 702 792 858 864 936 1056 1144 1188 1248 1287 1404 1584 1716 1872 2288 2376 2574 2808 3168 3432 3744 3861 4576 4752 5148 5616 6864 7722 9504 10296 11232 13728 15444 20592 30888 41184 61776 123552