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10412280 = 2333531311
BaseRepresentation
bin100111101110…
…000011111000
3201120222222000
4213232003320
510131143110
61011101000
7154334334
oct47560370
921528860
1010412280
11597199a
1235a1760
132207418
1415507c4
15daa1c0
hex9ee0f8

10412280 has 128 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 2678400.

The previous prime is 10412243. The next prime is 10412287. The reversal of 10412280 is 8221401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412287) 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 31 ways as a sum of consecutive naturals, for example, 33325 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 210412280 is an apocalyptic number.

10412280 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 10412280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

10412280 is an abundant number, since it is smaller than the sum of its proper divisors (25530120).

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

10412280 is a wasteful number, since it uses less digits than its factorization.

10412280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10412280 is about 3226.8064708005. The cubic root of 10412280 is about 218.3644550292.

Adding to 10412280 its reverse (8221401), we get a palindrome (18633681).

It can be divided in two parts, 1041 and 2280, that added together give a triangular number (3321 = T81).

The spelling of 10412280 in words is "ten million, four hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 311 360 372 465 540 558 620 622 744 837 930 933 1080 1116 1240 1244 1395 1555 1674 1860 1866 2232 2488 2790 2799 3110 3348 3720 3732 4185 4665 5580 5598 6220 6696 7464 8370 8397 9330 9641 11160 11196 12440 13995 16740 16794 18660 19282 22392 27990 28923 33480 33588 37320 38564 41985 48205 55980 57846 67176 77128 83970 86769 96410 111960 115692 144615 167940 173538 192820 231384 260307 289230 335880 347076 385640 433845 520614 578460 694152 867690 1041228 1156920 1301535 1735380 2082456 2603070 3470760 5206140 10412280