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1010240 = 26571141
BaseRepresentation
bin11110110101001000000
31220022210022
43312221000
5224311430
633353012
711405210
oct3665100
91808708
101010240
11630010
12408768
13294a9a
141c4240
1514e4e5
hexf6a40

1010240 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 307200.

The previous prime is 1010237. The next prime is 1010263. The reversal of 1010240 is 420101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24620 + ... + 24660.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

21010240 is an apocalyptic number.

1010240 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 1010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1010240 is an abundant number, since it is smaller than the sum of its proper divisors (2062144).

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

1010240 is a wasteful number, since it uses less digits than its factorization.

1010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1010240 is about 1005.1069594824. The cubic root of 1010240 is about 100.3401748320.

Adding to 1010240 its reverse (420101), we get a palindrome (1430341).

It can be divided in two parts, 10 and 10240, that multiplied together give a square (102400 = 3202).

The spelling of 1010240 in words is "one million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 41 44 55 56 64 70 77 80 82 88 110 112 140 154 160 164 176 205 220 224 280 287 308 320 328 352 385 410 440 448 451 560 574 616 656 704 770 820 880 902 1120 1148 1232 1312 1435 1540 1640 1760 1804 2240 2255 2296 2464 2624 2870 3080 3157 3280 3520 3608 4510 4592 4928 5740 6160 6314 6560 7216 9020 9184 11480 12320 12628 13120 14432 15785 18040 18368 22960 24640 25256 28864 31570 36080 45920 50512 63140 72160 91840 101024 126280 144320 202048 252560 505120 1010240