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123423630 = 235114281
BaseRepresentation
bin1110101101101…
…00101110001110
322121020120101120
413112310232032
5223044024010
620125221410
73026040441
oct726645616
9277216346
10123423630
1163740000
1235401866
131c755345
141256b658
15ac7ee70
hex75b4b8e

123423630 has 80 divisors (see below), whose sum is σ = 326995920. Its totient is φ = 29814400.

The previous prime is 123423607. The next prime is 123423637. The reversal of 123423630 is 36324321.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123423630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123423637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439090 + ... + 439370.

It is an arithmetic number, because the mean of its divisors is an integer number (4087449).

Almost surely, 2123423630 is an apocalyptic number.

123423630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123423630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163497960).

123423630 is an abundant number, since it is smaller than the sum of its proper divisors (203572290).

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

123423630 is an equidigital number, since it uses as much as digits as its factorization.

123423630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 123423630 is about 11109.6188053416. The cubic root of 123423630 is about 497.8892755561.

Adding to 123423630 its reverse (36324321), we get a palindrome (159747951).

The spelling of 123423630 in words is "one hundred twenty-three million, four hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 281 330 363 562 605 726 843 1210 1331 1405 1686 1815 2662 2810 3091 3630 3993 4215 6182 6655 7986 8430 9273 13310 14641 15455 18546 19965 29282 30910 34001 39930 43923 46365 68002 73205 87846 92730 102003 146410 170005 204006 219615 340010 374011 439230 510015 748022 1020030 1122033 1870055 2244066 3740110 4114121 5610165 8228242 11220330 12342363 20570605 24684726 41141210 61711815 123423630