Search a number
-
+
10312432 = 2413431153
BaseRepresentation
bin100111010101…
…101011110000
3201101220222221
4213111223300
510114444212
61005010424
7153440254
oct47255360
921356887
1010312432
115903979
123553a14
1321a0b40
141526264
15d8a807
hex9d5af0

10312432 has 40 divisors (see below), whose sum is σ = 22036784. Its totient is φ = 4644864.

The previous prime is 10312409. The next prime is 10312453. The reversal of 10312432 is 23421301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8368 + ... + 9520.

Almost surely, 210312432 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 10312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018392).

10312432 is an abundant number, since it is smaller than the sum of its proper divisors (11724352).

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

10312432 is a wasteful number, since it uses less digits than its factorization.

10312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10312432 is about 3211.2975570632. The cubic root of 10312432 is about 217.6642138557.

Adding to 10312432 its reverse (23421301), we get a palindrome (33733733).

The spelling of 10312432 in words is "ten million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 1153 2236 2306 4472 4612 8944 9224 14989 18448 29978 49579 59956 99158 119912 198316 239824 396632 644527 793264 1289054 2578108 5156216 10312432