Search a number
-
+
123260368 = 24711100049
BaseRepresentation
bin1110101100011…
…00110111010000
322120221021102211
413112030313100
5223023312433
620121521504
73024460450
oct726146720
9276837384
10123260368
1163639380
1235343294
131c6c8c3a
1412527d60
15ac4b8cd
hex758cdd0

123260368 has 40 divisors (see below), whose sum is σ = 297748800. Its totient is φ = 48023040.

The previous prime is 123260363. The next prime is 123260383. The reversal of 123260368 is 863062321.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123260363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48793 + ... + 51256.

It is an arithmetic number, because the mean of its divisors is an integer number (7443720).

Almost surely, 2123260368 is an apocalyptic number.

It is an amenable number.

123260368 is an abundant number, since it is smaller than the sum of its proper divisors (174488432).

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

123260368 is a wasteful number, since it uses less digits than its factorization.

123260368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100075 (or 100069 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 123260368 is about 11102.2685970030. The cubic root of 123260368 is about 497.6696464447.

It can be divided in two parts, 1232 and 60368, that multiplied together give a square (74373376 = 86242).

The spelling of 123260368 in words is "one hundred twenty-three million, two hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 100049 200098 400196 700343 800392 1100539 1400686 1600784 2201078 2801372 4402156 5602744 7703773 8804312 11205488 15407546 17608624 30815092 61630184 123260368