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123280668 = 223272174111
BaseRepresentation
bin1110101100100…
…01110100011100
322120222022021200
413112101310130
5223024440133
620122155500
73024603600
oct726216434
9276868250
10123280668
1163652655
1235352b90
131c705254
1412531500
15ac52913
hex7591d1c

123280668 has 108 divisors (see below), whose sum is σ = 383920992. Its totient is φ = 33143040.

The previous prime is 123280643. The next prime is 123280679. The reversal of 123280668 is 866082321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27933 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (3554824).

Almost surely, 2123280668 is an apocalyptic number.

123280668 is a gapful number since it is divisible by the number (18) 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 123280668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191960496).

123280668 is an abundant number, since it is smaller than the sum of its proper divisors (260640324).

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

123280668 is a wasteful number, since it uses less digits than its factorization.

123280668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 123280668 is about 11103.1827869310. The cubic root of 123280668 is about 497.6969656862.

The spelling of 123280668 in words is "one hundred twenty-three million, two hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4111 4284 4998 7497 8222 9996 12333 14994 16444 24666 28777 29988 36999 49332 57554 69887 73998 86331 115108 139774 147996 172662 201439 209661 258993 279548 345324 402878 419322 489209 517986 604317 628983 805756 838644 978418 1035972 1208634 1257966 1467627 1812951 1956836 2417268 2515932 2935254 3424463 3625902 4402881 5870508 6848926 7251804 8805762 10273389 13697852 17611524 20546778 30820167 41093556 61640334 123280668