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123991812 = 2232717103281
BaseRepresentation
bin1110110001111…
…11011100000100
322122022102210100
413120333130010
5223220214222
620145324100
73033625110
oct730773404
9278272710
10123991812
1163a9897a
1235636630
131c8c3b49
1412678740
15ad434ac
hex763f704

123991812 has 144 divisors (see below), whose sum is σ = 384314112. Its totient is φ = 32901120.

The previous prime is 123991811. The next prime is 123991817. The reversal of 123991812 is 218199321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (123991811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441112 + ... + 441392.

It is an arithmetic number, because the mean of its divisors is an integer number (2668848).

Almost surely, 2123991812 is an apocalyptic number.

123991812 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 123991812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192157056).

123991812 is an abundant number, since it is smaller than the sum of its proper divisors (260322300).

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

123991812 is a wasteful number, since it uses less digits than its factorization.

123991812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 413 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 123991812 is about 11135.1610675374. The cubic root of 123991812 is about 498.6521190322.

The spelling of 123991812 in words is "one hundred twenty-three million, nine hundred ninety-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 103 119 126 153 204 206 238 252 281 306 309 357 412 476 562 612 618 714 721 843 927 1071 1124 1236 1428 1442 1686 1751 1854 1967 2142 2163 2529 2884 3372 3502 3708 3934 4284 4326 4777 5058 5253 5901 6489 7004 7868 8652 9554 10116 10506 11802 12257 12978 14331 15759 17703 19108 21012 23604 24514 25956 28662 28943 31518 33439 35406 36771 42993 49028 57324 57886 63036 66878 70812 73542 85986 86829 100317 110313 115772 133756 147084 171972 173658 200634 202601 220626 260487 300951 347316 401268 405202 441252 492031 520974 601902 607803 810404 984062 1041948 1203804 1215606 1476093 1823409 1968124 2431212 2952186 3444217 3646818 4428279 5904372 6888434 7293636 8856558 10332651 13776868 17713116 20665302 30997953 41330604 61995906 123991812