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10203120 = 2432537383
BaseRepresentation
bin100110111010…
…111111110000
3201012101001100
4212322333300
510102444440
61002404400
7152503464
oct46727760
921171040
1010203120
115839834
123500700
132163165
1414d84a4
15d68230
hex9baff0

10203120 has 120 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 2640384.

The previous prime is 10203119. The next prime is 10203181. The reversal of 10203120 is 2130201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26449 + ... + 26831.

Almost surely, 210203120 is an apocalyptic number.

10203120 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 10203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

10203120 is an abundant number, since it is smaller than the sum of its proper divisors (25080336).

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

10203120 is a wasteful number, since it uses less digits than its factorization.

10203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

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

The square root of 10203120 is about 3194.2323021346. The cubic root of 10203120 is about 216.8923985355.

Adding to 10203120 its reverse (2130201), we get a palindrome (12333321).

The spelling of 10203120 in words is "ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 383 444 555 592 666 720 740 766 888 1110 1149 1332 1480 1532 1665 1776 1915 2220 2298 2664 2960 3064 3330 3447 3830 4440 4596 5328 5745 6128 6660 6894 7660 8880 9192 11490 13320 13788 14171 15320 17235 18384 22980 26640 27576 28342 30640 34470 42513 45960 55152 56684 68940 70855 85026 91920 113368 127539 137880 141710 170052 212565 226736 255078 275760 283420 340104 425130 510156 566840 637695 680208 850260 1020312 1133680 1275390 1700520 2040624 2550780 3401040 5101560 10203120