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10120032 = 2533131753
BaseRepresentation
bin100110100110…
…101101100000
3201001011002000
4212212231200
510042320112
61000524000
7152006316
oct46465540
921034060
1010120032
11579236a
123480600
1321343b0
1414b60b6
15d4d7dc
hex9a6b60

10120032 has 192 divisors, whose sum is σ = 34292160. Its totient is φ = 2875392.

The previous prime is 10120021. The next prime is 10120039. The reversal of 10120032 is 23002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10119996 and 10120023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120039) 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 31 ways as a sum of consecutive naturals, for example, 190918 + ... + 190970.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 210120032 is an apocalyptic number.

10120032 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 10120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

10120032 is an abundant number, since it is smaller than the sum of its proper divisors (24172128).

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

10120032 is a wasteful number, since it uses less digits than its factorization.

10120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10120032 is about 3181.1997736703. The cubic root of 10120032 is about 216.3020465680.

Adding to 10120032 its reverse (23002101), we get a palindrome (33122133).

The spelling of 10120032 in words is "ten million, one hundred twenty thousand, thirty-two".