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10103280 = 2435114389
BaseRepresentation
bin100110100010…
…100111110000
3201000022002120
4212202213300
510041301110
61000314240
7151606425
oct46424760
921008076
1010103280
115780820
123472980
132129895
1414add4c
15d48870
hex9a29f0

10103280 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2365440.

The previous prime is 10103267. The next prime is 10103293. The reversal of 10103280 is 8230101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10103267) and next prime (10103293).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 113476 + ... + 113564.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 210103280 is an apocalyptic number.

10103280 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 10103280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

10103280 is an abundant number, since it is smaller than the sum of its proper divisors (25251600).

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

10103280 is a wasteful number, since it uses less digits than its factorization.

10103280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10103280 is about 3178.5657142806. The cubic root of 10103280 is about 216.1826301773.

Adding to 10103280 its reverse (8230101), we get a palindrome (18333381).

The spelling of 10103280 in words is "ten million, one hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 89 110 120 129 132 165 172 176 178 215 220 240 258 264 267 330 344 356 430 440 445 473 516 528 534 645 660 688 712 860 880 890 946 979 1032 1068 1290 1320 1335 1419 1424 1720 1780 1892 1958 2064 2136 2365 2580 2640 2670 2838 2937 3440 3560 3784 3827 3916 4272 4730 4895 5160 5340 5676 5874 7095 7120 7568 7654 7832 9460 9790 10320 10680 11352 11481 11748 14190 14685 15308 15664 18920 19135 19580 21360 22704 22962 23496 28380 29370 30616 37840 38270 39160 42097 45924 46992 56760 57405 58740 61232 76540 78320 84194 91848 113520 114810 117480 126291 153080 168388 183696 210485 229620 234960 252582 306160 336776 420970 459240 505164 631455 673552 841940 918480 1010328 1262910 1683880 2020656 2525820 3367760 5051640 10103280