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1210521040 = 245177389137
BaseRepresentation
bin100100000100111…
…0001010111010000
310010100210211200121
41020021301113100
54434343133130
6320041400024
741666154601
oct11011612720
93110724617
101210521040
11571342413
12299499014
13163a39251
14b6aabda8
1571417d7a
hex482715d0

1210521040 has 160 divisors (see below), whose sum is σ = 3077079840. Its totient is φ = 441188352.

The previous prime is 1210521031. The next prime is 1210521071. The reversal of 1210521040 is 401250121.

It can be written as a sum of positive squares in 16 ways, for example, as 187032976 + 1023488064 = 13676^2 + 31992^2 .

It is a super-2 number, since 2×12105210402 = 2930722376565363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8835852 + ... + 8835988.

It is an arithmetic number, because the mean of its divisors is an integer number (19231749).

Almost surely, 21210521040 is an apocalyptic number.

1210521040 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 1210521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538539920).

1210521040 is an abundant number, since it is smaller than the sum of its proper divisors (1866558800).

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

1210521040 is a wasteful number, since it uses less digits than its factorization.

1210521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1210521040 is about 34792.5428791861. The cubic root of 1210521040 is about 1065.7551683681.

Adding to 1210521040 its reverse (401250121), we get a palindrome (1611771161).

The spelling of 1210521040 in words is "one billion, two hundred ten million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 89 136 137 146 170 178 272 274 292 340 356 365 445 548 584 680 685 712 730 890 1096 1168 1241 1360 1370 1424 1460 1513 1780 2192 2329 2482 2740 2920 3026 3560 4658 4964 5480 5840 6052 6205 6497 7120 7565 9316 9928 10001 10960 11645 12104 12193 12410 12994 15130 18632 19856 20002 23290 24208 24386 24820 25988 30260 32485 37264 40004 46580 48772 49640 50005 51976 60520 60965 64970 80008 93160 97544 99280 100010 103952 110449 121040 121930 129940 160016 170017 186320 195088 200020 207281 220898 243860 259880 340034 400040 414562 441796 487720 519760 552245 680068 800080 829124 850085 883592 890089 975440 1036405 1104490 1360136 1658248 1700170 1767184 1780178 2072810 2208980 2720272 3316496 3400340 3560356 4145620 4417960 4450445 6800680 7120712 8291240 8835920 8900890 13601360 14241424 15131513 16582480 17801780 30263026 35603560 60526052 71207120 75657565 121052104 151315130 242104208 302630260 605260520 1210521040