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123147328 = 26109127139
BaseRepresentation
bin1110101011100…
…01010001000000
322120201112101011
413111301101000
5223011203303
620115250304
73023510053
oct725612100
9276645334
10123147328
1163571457
12352a9994
131c689655
14124d8a9a
15ac2816d
hex7571440

123147328 has 56 divisors (see below), whose sum is σ = 250342400. Its totient is φ = 60092928.

The previous prime is 123147307. The next prime is 123147329. The reversal of 123147328 is 823741321.

It is a self number, because there is not a number n which added to its sum of digits gives 123147328.

It is not an unprimeable number, because it can be changed into a prime (123147329) by changing a digit.

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, 885883 + ... + 886021.

It is an arithmetic number, because the mean of its divisors is an integer number (4470400).

Almost surely, 2123147328 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 123147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125171200).

123147328 is an abundant number, since it is smaller than the sum of its proper divisors (127195072).

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

123147328 is a wasteful number, since it uses less digits than its factorization.

123147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 123147328 is about 11097.1765778508. The cubic root of 123147328 is about 497.5174651074.

Adding to 123147328 its reverse (823741321), we get a palindrome (946888649).

The spelling of 123147328 in words is "one hundred twenty-three million, one hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 127 139 218 254 278 436 508 556 872 1016 1112 1744 2032 2224 3488 4064 4448 6976 8128 8896 13843 15151 17653 27686 30302 35306 55372 60604 70612 110744 121208 141224 221488 242416 282448 442976 484832 564896 885952 969664 1129792 1924177 3848354 7696708 15393416 30786832 61573664 123147328