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10424232 = 23327133743
BaseRepresentation
bin100111110000…
…111110101000
3201121121100200
4213300332220
510132033412
61011232200
7154414230
oct47607650
921547320
1010424232
11597a975
1235a8660
13220c9b0
141554cc0
15dad9dc
hex9f0fa8

10424232 has 192 divisors, whose sum is σ = 36516480. Its totient is φ = 2612736.

The previous prime is 10424203. The next prime is 10424243. The reversal of 10424232 is 23242401.

10424232 is a `hidden beast` number, since 10 + 424 + 232 = 666.

It is a super-2 number, since 2×104242322 = 217329225579648, which contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10424232 = 403 + 2183 = 1013 + 2113.

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 47 ways as a sum of consecutive naturals, for example, 242403 + ... + 242445.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

Almost surely, 210424232 is an apocalyptic number.

10424232 is a gapful number since it is divisible by the number (12) 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 10424232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258240).

10424232 is an abundant number, since it is smaller than the sum of its proper divisors (26092248).

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

10424232 is a wasteful number, since it uses less digits than its factorization.

10424232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10424232 is about 3228.6579255164. The cubic root of 10424232 is about 218.4479748088.

Adding to 10424232 its reverse (23242401), we get a palindrome (33666633).

It can be divided in two parts, 104 and 24232, that added together give a square (24336 = 1562).

The spelling of 10424232 in words is "ten million, four hundred twenty-four thousand, two hundred thirty-two".