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10203024 = 2431383197
BaseRepresentation
bin100110111010…
…111110010000
3201012100220210
4212322332100
510102444044
61002404120
7152503266
oct46727620
921170823
1010203024
115839757
123500640
1321630c0
1414d8436
15d681b9
hex9baf90

10203024 has 80 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 3085824.

The previous prime is 10203023. The next prime is 10203031. The reversal of 10203024 is 42030201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10203023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51694 + ... + 51890.

Almost surely, 210203024 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 10203024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

10203024 is an abundant number, since it is smaller than the sum of its proper divisors (18670128).

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

10203024 is a wasteful number, since it uses less digits than its factorization.

10203024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10203024 is about 3194.2172750143. The cubic root of 10203024 is about 216.8917182947.

Adding to 10203024 its reverse (42030201), we get a palindrome (52233225).

It can be divided in two parts, 1020302 and 4, that added together give a triangular number (1020306 = T1428).

The spelling of 10203024 in words is "ten million, two hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 197 208 249 312 332 394 498 591 624 664 788 996 1079 1182 1328 1576 1992 2158 2364 2561 3152 3237 3984 4316 4728 5122 6474 7683 8632 9456 10244 12948 15366 16351 17264 20488 25896 30732 32702 40976 49053 51792 61464 65404 98106 122928 130808 196212 212563 261616 392424 425126 637689 784848 850252 1275378 1700504 2550756 3401008 5101512 10203024