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10103040 = 28325877
BaseRepresentation
bin100110100010…
…100100000000
3201000021202200
4212202210000
510041244130
61000313200
7151605633
oct46424400
921007680
1010103040
115780622
123472800
13212973c
1414adc1a
15d48760
hex9a2900

10103040 has 108 divisors (see below), whose sum is σ = 34995324. Its totient is φ = 2691072.

The previous prime is 10103039. The next prime is 10103053. The reversal of 10103040 is 4030101.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 3873024 = 2496^2 + 1968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11082 + ... + 11958.

Almost surely, 210103040 is an apocalyptic number.

10103040 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 10103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17497662).

10103040 is an abundant number, since it is smaller than the sum of its proper divisors (24892284).

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

10103040 is an equidigital number, since it uses as much as digits as its factorization.

10103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

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

The square root of 10103040 is about 3178.5279611795. The cubic root of 10103040 is about 216.1809183820.

Adding to 10103040 its reverse (4030101), we get a palindrome (14133141).

The spelling of 10103040 in words is "ten million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 877 960 1152 1280 1440 1754 1920 2304 2631 2880 3508 3840 4385 5262 5760 7016 7893 8770 10524 11520 13155 14032 15786 17540 21048 26310 28064 31572 35080 39465 42096 52620 56128 63144 70160 78930 84192 105240 112256 126288 140320 157860 168384 210480 224512 252576 280640 315720 336768 420960 505152 561280 631440 673536 841920 1010304 1122560 1262880 1683840 2020608 2525760 3367680 5051520 10103040