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123423420 = 22352989797
BaseRepresentation
bin1110101101101…
…00101010111100
322121020120002210
413112310222330
5223044022140
620125220420
73026040021
oct726645274
9277216083
10123423420
116373a92a
1235401710
131c755213
141256b548
15ac7ed80
hex75b4abc

123423420 has 96 divisors (see below), whose sum is σ = 361972800. Its totient is φ = 31381504.

The previous prime is 123423413. The next prime is 123423463. The reversal of 123423420 is 24324321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154462 + ... + 155258.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2123423420 is an apocalyptic number.

123423420 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 123423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

123423420 is an abundant number, since it is smaller than the sum of its proper divisors (238549380).

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

123423420 is a wasteful number, since it uses less digits than its factorization.

123423420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 123423420 is about 11109.6093540682. The cubic root of 123423420 is about 497.8889931769. Note that the first 3 decimals are identical.

Adding to 123423420 its reverse (24324321), we get a palindrome (147747741).

Subtracting from 123423420 its reverse (24324321), we obtain a palindrome (99099099).

The spelling of 123423420 in words is "one hundred twenty-three million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 89 116 145 174 178 267 290 348 356 435 445 534 580 797 870 890 1068 1335 1594 1740 1780 2391 2581 2670 3188 3985 4782 5162 5340 7743 7970 9564 10324 11955 12905 15486 15940 23113 23910 25810 30972 38715 46226 47820 51620 69339 70933 77430 92452 115565 138678 141866 154860 212799 231130 277356 283732 346695 354665 425598 462260 693390 709330 851196 1063995 1386780 1418660 2057057 2127990 4114114 4255980 6171171 8228228 10285285 12342342 20570570 24684684 30855855 41141140 61711710 123423420