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10233020 = 2257193847
BaseRepresentation
bin100111000010…
…010010111100
3201020220001202
4213002102330
510104424040
61003155032
7152656610
oct47022274
921226052
1010233020
11585a246
123515a78
132173955
141505340
15d72015
hex9c24bc

10233020 has 48 divisors (see below), whose sum is σ = 25858560. Its totient is φ = 3322944.

The previous prime is 10232983. The next prime is 10233023. The reversal of 10233020 is 2033201.

It is a junction number, because it is equal to n+sod(n) for n = 10232992 and 10233010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233023) 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, 737 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 210233020 is an apocalyptic number.

10233020 is a gapful number since it is divisible by the number (10) 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 10233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929280).

10233020 is an abundant number, since it is smaller than the sum of its proper divisors (15625540).

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

10233020 is a wasteful number, since it uses less digits than its factorization.

10233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 10233020 is about 3198.9091890831. The cubic root of 10233020 is about 217.1040579174.

Adding to 10233020 its reverse (2033201), we get a palindrome (12266221).

The spelling of 10233020 in words is "ten million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3847 7694 15388 19235 26929 38470 53858 73093 76940 107716 134645 146186 269290 292372 365465 511651 538580 730930 1023302 1461860 2046604 2558255 5116510 10233020