Search a number
-
+
103332240 = 24335114349
BaseRepresentation
bin1100010100010…
…11100110010000
321012102211012000
412022023212100
5202423112430
614130434000
72363211114
oct612134620
9235384160
10103332240
1153368050
122a732900
131853c44b
14da1b744
159111e60
hex628b990

103332240 has 160 divisors (see below), whose sum is σ = 388368000. Its totient is φ = 25044480.

The previous prime is 103332233. The next prime is 103332263. The reversal of 103332240 is 42233301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 21586 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (2427300).

Almost surely, 2103332240 is an apocalyptic number.

103332240 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 103332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194184000).

103332240 is an abundant number, since it is smaller than the sum of its proper divisors (285035760).

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

103332240 is a wasteful number, since it uses less digits than its factorization.

103332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 103332240 is about 10165.2466767905. The cubic root of 103332240 is about 469.2582838489.

Adding to 103332240 its reverse (42233301), we get a palindrome (145565541).

The spelling of 103332240 in words is "one hundred three million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4349 4752 5940 7920 8698 11880 13047 17396 21745 23760 26094 34792 39141 43490 47839 52188 65235 69584 78282 86980 95678 104376 117423 130470 143517 156564 173960 191356 195705 208752 234846 239195 260940 287034 313128 347920 382712 391410 430551 469692 478390 521880 574068 587115 626256 717585 765424 782820 861102 939384 956780 1043760 1148136 1174230 1291653 1435170 1565640 1722204 1878768 1913560 2152755 2296272 2348460 2583306 2870340 3131280 3444408 3827120 4305510 4696920 5166612 5740680 6458265 6888816 8611020 9393840 10333224 11481360 12916530 17222040 20666448 25833060 34444080 51666120 103332240