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123280092 = 223213223881
BaseRepresentation
bin1110101100100…
…01101011011100
322120222021111100
413112101223130
5223024430332
620122153100
73024602115
oct726215334
9276867440
10123280092
1163652181
1235352790
131c704c00
141253120c
15ac5267c
hex7591adc

123280092 has 108 divisors (see below), whose sum is σ = 352510704. Its totient is φ = 36241920.

The previous prime is 123280057. The next prime is 123280093. The reversal of 123280092 is 290082321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123280093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139492 + ... + 140372.

It is an arithmetic number, because the mean of its divisors is an integer number (3263988).

Almost surely, 2123280092 is an apocalyptic number.

123280092 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 123280092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176255352).

123280092 is an abundant number, since it is smaller than the sum of its proper divisors (229230612).

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

123280092 is a wasteful number, since it uses less digits than its factorization.

123280092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 123280092 is about 11103.1568483923. The cubic root of 123280092 is about 497.6961905609.

The spelling of 123280092 in words is "one hundred twenty-three million, two hundred eighty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 169 207 234 276 299 338 414 468 507 598 676 828 881 897 1014 1196 1521 1762 1794 2028 2643 2691 3042 3524 3588 3887 5286 5382 6084 7774 7929 10572 10764 11453 11661 15548 15858 20263 22906 23322 31716 34359 34983 40526 45812 46644 60789 68718 69966 81052 103077 121578 137436 139932 148889 182367 206154 243156 263419 297778 364734 412308 446667 526838 595556 729468 790257 893334 1053676 1340001 1580514 1786668 2370771 2680002 3161028 3424447 4741542 5360004 6848894 9483084 10273341 13697788 20546682 30820023 41093364 61640046 123280092