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123916842 = 23271724183
BaseRepresentation
bin1110110001011…
…01001000101010
322122011121221200
413120231020222
5223210314332
620143545030
73033163410
oct730551052
9278147850
10123916842
1163a47615
12355bb176
131c89899a
14126592b0
15ad2b17c
hex762d22a

123916842 has 144 divisors (see below), whose sum is σ = 337925952. Its totient is φ = 32117760.

The previous prime is 123916831. The next prime is 123916861. The reversal of 123916842 is 248619321.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 123916797 and 123916806.

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 71 ways as a sum of consecutive naturals, for example, 1492933 + ... + 1493015.

It is an arithmetic number, because the mean of its divisors is an integer number (2346708).

Almost surely, 2123916842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123916842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962976).

123916842 is an abundant number, since it is smaller than the sum of its proper divisors (214009110).

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

123916842 is a wasteful number, since it uses less digits than its factorization.

123916842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 123916842 is about 11131.7941950074. The cubic root of 123916842 is about 498.5515976460.

It can be divided in two parts, 1239 and 16842, that added together give a palindrome (18081).

The spelling of 123916842 in words is "one hundred twenty-three million, nine hundred sixteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 41 42 51 63 82 83 102 119 123 126 153 166 238 246 249 287 289 306 357 369 498 574 578 581 697 714 738 747 861 867 1071 1162 1394 1411 1494 1722 1734 1743 2023 2091 2142 2583 2601 2822 3403 3486 4046 4182 4233 4879 5166 5202 5229 6069 6273 6806 8466 9758 9877 10209 10458 11849 12138 12546 12699 14637 18207 19754 20418 23698 23821 23987 25398 29274 29631 30627 35547 36414 43911 47642 47974 57851 59262 61254 71094 71463 71961 82943 87822 88893 106641 115702 142926 143922 165886 167909 173553 177786 213282 214389 215883 248829 335818 347106 404957 428778 431766 497658 503727 520659 746487 809914 983467 1007454 1041318 1214871 1492974 1511181 1966934 2429742 2950401 3022362 3644613 5900802 6884269 7289226 8851203 13768538 17702406 20652807 41305614 61958421 123916842