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123930352 = 24713471811
BaseRepresentation
bin1110110001100…
…00011011110000
322122012022111001
413120300123300
5223211232402
620144131344
73033250660
oct730603360
9278168431
10123930352
1163a56787
1235606b54
131c8a1b90
14126601a0
15ad30187
hex76306f0

123930352 has 80 divisors (see below), whose sum is σ = 301980672. Its totient is φ = 47957760.

The previous prime is 123930349. The next prime is 123930361. The reversal of 123930352 is 253039321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123930352.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67527 + ... + 69337.

Almost surely, 2123930352 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 123930352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150990336).

123930352 is an abundant number, since it is smaller than the sum of its proper divisors (178050320).

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

123930352 is a wasteful number, since it uses less digits than its factorization.

123930352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 123930352 is about 11132.4009988861. The cubic root of 123930352 is about 498.5697151384.

Adding to 123930352 its reverse (253039321), we get a palindrome (376969673).

It can be divided in two parts, 1239 and 30352, that multiplied together give a triangular number (37606128 = T8672).

The spelling of 123930352 in words is "one hundred twenty-three million, nine hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 91 94 104 112 182 188 208 329 364 376 611 658 728 752 1222 1316 1456 1811 2444 2632 3622 4277 4888 5264 7244 8554 9776 12677 14488 17108 23543 25354 28976 34216 47086 50708 68432 85117 94172 101416 164801 170234 188344 202832 329602 340468 376688 595819 659204 680936 1106521 1191638 1318408 1361872 2213042 2383276 2636816 4426084 4766552 7745647 8852168 9533104 15491294 17704336 30982588 61965176 123930352