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10233120 = 253521319
BaseRepresentation
bin100111000010…
…010100100000
3201020220012110
4213002110200
510104424440
61003155320
7152660112
oct47022440
921226173
1010233120
11585a327
123515b40
132173a01
1415053b2
15d72080
hex9c2520

10233120 has 48 divisors (see below), whose sum is σ = 32235840. Its totient is φ = 2728704.

The previous prime is 10233109. The next prime is 10233121. The reversal of 10233120 is 2133201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 10233096 and 10233105.

It is not an unprimeable number, because it can be changed into a prime (10233121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10180 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (671580).

Almost surely, 210233120 is an apocalyptic number.

10233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233120 is an abundant number, since it is smaller than the sum of its proper divisors (22002720).

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

10233120 is a wasteful number, since it uses less digits than its factorization.

10233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21337 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10233120 is about 3198.9248193729. The cubic root of 10233120 is about 217.1047651161.

Adding to 10233120 its reverse (2133201), we get a palindrome (12366321).

The spelling of 10233120 in words is "ten million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21319 42638 63957 85276 106595 127914 170552 213190 255828 319785 341104 426380 511656 639570 682208 852760 1023312 1279140 1705520 2046624 2558280 3411040 5116560 10233120