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123444140 = 225171997197
BaseRepresentation
bin1110101101110…
…01101110101100
322121021121112012
413112321232230
5223100203030
620125500352
73026154311
oct726715654
9277247465
10123444140
1163754456
12354116b8
131c761791
1412574d08
15ac86095
hex75b9bac

123444140 has 96 divisors (see below), whose sum is σ = 293388480. Its totient is φ = 43352064.

The previous prime is 123444091. The next prime is 123444169. The reversal of 123444140 is 41444321.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626522 + ... + 626718.

It is an arithmetic number, because the mean of its divisors is an integer number (3056130).

Almost surely, 2123444140 is an apocalyptic number.

123444140 is a gapful number since it is divisible by the number (10) 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 123444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146694240).

123444140 is an abundant number, since it is smaller than the sum of its proper divisors (169944340).

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

123444140 is a wasteful number, since it uses less digits than its factorization.

123444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 123444140 is about 11110.5418409725. The cubic root of 123444140 is about 497.9168530507.

Adding to 123444140 its reverse (41444321), we get a palindrome (164888461).

The spelling of 123444140 in words is "one hundred twenty-three million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 97 170 190 194 197 323 340 380 388 394 485 646 788 970 985 1292 1615 1649 1843 1940 1970 3230 3298 3349 3686 3743 3940 6460 6596 6698 7372 7486 8245 9215 13396 14972 16490 16745 18430 18715 19109 31331 32980 33490 36860 37430 38218 62662 63631 66980 74860 76436 95545 125324 127262 156655 191090 254524 313310 318155 324853 363071 382180 626620 636310 649706 726142 1272620 1299412 1452284 1624265 1815355 3248530 3630710 6172207 6497060 7261420 12344414 24688828 30861035 61722070 123444140