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123423400 = 235217311171
BaseRepresentation
bin1110101101101…
…00101010101000
322121020120002001
413112310222220
5223044022100
620125220344
73026036662
oct726645250
9277216061
10123423400
116373a911
12354016b4
131c7551c9
141256b532
15ac7ed6a
hex75b4aa8

123423400 has 96 divisors (see below), whose sum is σ = 313908480. Its totient is φ = 44928000.

The previous prime is 123423397. The next prime is 123423401. The reversal of 123423400 is 4324321.

It is not an unprimeable number, because it can be changed into a prime (123423401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104815 + ... + 105985.

It is an arithmetic number, because the mean of its divisors is an integer number (3269880).

Almost surely, 2123423400 is an apocalyptic number.

123423400 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 123423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954240).

123423400 is an abundant number, since it is smaller than the sum of its proper divisors (190485080).

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

123423400 is a wasteful number, since it uses less digits than its factorization.

123423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 123423400 is about 11109.6084539465. The cubic root of 123423400 is about 497.8889662836. Note that the first 3 decimals are identical.

Adding to 123423400 its reverse (4324321), we get a palindrome (127747721).

The spelling of 123423400 in words is "one hundred twenty-three million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 31 34 40 50 62 68 85 100 124 136 155 170 200 248 310 340 425 527 620 680 775 850 1054 1171 1240 1550 1700 2108 2342 2635 3100 3400 4216 4684 5270 5855 6200 9368 10540 11710 13175 19907 21080 23420 26350 29275 36301 39814 46840 52700 58550 72602 79628 99535 105400 117100 145204 159256 181505 199070 234200 290408 363010 398140 497675 617117 726020 796280 907525 995350 1234234 1452040 1815050 1990700 2468468 3085585 3630100 3981400 4936936 6171170 7260200 12342340 15427925 24684680 30855850 61711700 123423400