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123135552 = 263423753
BaseRepresentation
bin1110101011011…
…10011001000000
322120200221020000
413111232121000
5223010314202
620115120000
73023430531
oct725563100
9276627200
10123135552
1163563621
12352a3000
131c684197
14124d4688
15ac2491c
hex756e640

123135552 has 70 divisors (see below), whose sum is σ = 365027718. Its totient is φ = 41043456.

The previous prime is 123135547. The next prime is 123135553. The reversal of 123135552 is 255531321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113550336 + 9585216 = 10656^2 + 3096^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123135553) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 6693 + ... + 17060.

Almost surely, 2123135552 is an apocalyptic number.

123135552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123135552 is an abundant number, since it is smaller than the sum of its proper divisors (241892166).

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

123135552 is an equidigital number, since it uses as much as digits as its factorization.

123135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23777 (or 23758 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 123135552 is about 11096.6459797544. The cubic root of 123135552 is about 497.5016061832.

Adding to 123135552 its reverse (255531321), we get a palindrome (378666873).

The spelling of 123135552 in words is "one hundred twenty-three million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 23753 47506 71259 95012 142518 190024 213777 285036 380048 427554 570072 641331 760096 855108 1140144 1282662 1520192 1710216 1923993 2280288 2565324 3420432 3847986 4560576 5130648 6840864 7695972 10261296 13681728 15391944 20522592 30783888 41045184 61567776 123135552