Search a number
-
+
123432030 = 23252359629
BaseRepresentation
bin1110101101101…
…10110001011110
322121020222220200
413112312301132
5223044311110
620125324330
73026104101
oct726666136
9277228820
10123432030
1163746347
12354066a6
131c759107
1412570738
15ac826c0
hex75b6c5e

123432030 has 48 divisors (see below), whose sum is σ = 334882080. Its totient is φ = 31483584.

The previous prime is 123432013. The next prime is 123432077. The reversal of 123432030 is 30234321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123431994 and 123432012.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 27745 + ... + 31884.

It is an arithmetic number, because the mean of its divisors is an integer number (6976710).

Almost surely, 2123432030 is an apocalyptic number.

123432030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123432030 is an abundant number, since it is smaller than the sum of its proper divisors (211450050).

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

123432030 is a wasteful number, since it uses less digits than its factorization.

123432030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59665 (or 59662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123432030 is about 11109.9968496845. The cubic root of 123432030 is about 497.9005704625.

Adding to 123432030 its reverse (30234321), we get a palindrome (153666351).

The spelling of 123432030 in words is "one hundred twenty-three million, four hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 59629 119258 178887 298145 357774 536661 596290 894435 1073322 1371467 1788870 2683305 2742934 4114401 5366610 6857335 8228802 12343203 13714670 20572005 24686406 41144010 61716015 123432030