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123140352 = 2831091471
BaseRepresentation
bin1110101011011…
…11100100000000
322120201011210210
413111233210000
5223010442402
620115154120
73023450526
oct725574400
9276634723
10123140352
1163567195
12352a5940
131c68641a
14124d6316
15ac2606c
hex756f900

123140352 has 72 divisors (see below), whose sum is σ = 330964480. Its totient is φ = 40642560.

The previous prime is 123140327. The next prime is 123140371. The reversal of 123140352 is 253041321.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 82977 + ... + 84447.

Almost surely, 2123140352 is an apocalyptic number.

123140352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165482240).

123140352 is an abundant number, since it is smaller than the sum of its proper divisors (207824128).

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

123140352 is a wasteful number, since it uses less digits than its factorization.

123140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 123140352 is about 11096.8622592154. The cubic root of 123140352 is about 497.5080705407.

Adding to 123140352 its reverse (253041321), we get a palindrome (376181673).

The spelling of 123140352 in words is "one hundred twenty-three million, one hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1471 1744 2616 2942 3488 4413 5232 5884 6976 8826 10464 11768 13952 17652 20928 23536 27904 35304 41856 47072 70608 83712 94144 141216 160339 188288 282432 320678 376576 481017 564864 641356 962034 1129728 1282712 1924068 2565424 3848136 5130848 7696272 10261696 15392544 20523392 30785088 41046784 61570176 123140352