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23406132 = 22329103653
BaseRepresentation
bin101100101001…
…0011000110100
31122001011011210
41121102120310
521442444012
62153401420
7402643311
oct131223064
948034153
1023406132
1112237412
127a09270
134b068a9
143173d08
1520c523c
hex1652634

23406132 has 48 divisors (see below), whose sum is σ = 57133440. Its totient is φ = 7448448.

The previous prime is 23406113. The next prime is 23406137. The reversal of 23406132 is 23160432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23406099 and 23406108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35518 + ... + 36170.

It is an arithmetic number, because the mean of its divisors is an integer number (1190280).

Almost surely, 223406132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23406132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28566720).

23406132 is an abundant number, since it is smaller than the sum of its proper divisors (33727308).

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

23406132 is a wasteful number, since it uses less digits than its factorization.

23406132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 23406132 is about 4837.9884249551. The cubic root of 23406132 is about 286.0508328965.

Adding to 23406132 its reverse (23160432), we get a palindrome (46566564).

The spelling of 23406132 in words is "twenty-three million, four hundred six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 103 116 174 206 309 348 412 618 653 1236 1306 1959 2612 2987 3918 5974 7836 8961 11948 17922 18937 35844 37874 56811 67259 75748 113622 134518 201777 227244 269036 403554 807108 1950511 3901022 5851533 7802044 11703066 23406132