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1010368240 = 2457336821
BaseRepresentation
bin111100001110001…
…111111011110000
32121102012000122221
4330032033323300
54032123240430
6244131410424
734015663000
oct7416177360
92542160587
101010368240
11479365682
12242453a14
1313142a53b
149828a000
155da7d57a
hex3c38fef0

1010368240 has 80 divisors (see below), whose sum is σ = 2739556800. Its totient is φ = 346402560.

The previous prime is 1010368237. The next prime is 1010368243. The reversal of 1010368240 is 428630101.

It is an interprime number because it is at equal distance from previous prime (1010368237) and next prime (1010368243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010368243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9030 + ... + 45850.

It is an arithmetic number, because the mean of its divisors is an integer number (34244460).

Almost surely, 21010368240 is an apocalyptic number.

1010368240 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 1010368240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369778400).

1010368240 is an abundant number, since it is smaller than the sum of its proper divisors (1729188560).

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

1010368240 is an equidigital number, since it uses as much as digits as its factorization.

1010368240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36855 (or 36835 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1010368240 is about 31786.2901264051. The cubic root of 1010368240 is about 1003.4442038409. Note that the first 3 decimals are identical.

Adding to 1010368240 its reverse (428630101), we get a palindrome (1438998341).

The spelling of 1010368240 in words is "one billion, ten million, three hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 36821 73642 147284 184105 257747 294568 368210 515494 589136 736420 1030988 1288735 1472840 1804229 2061976 2577470 2945680 3608458 4123952 5154940 7216916 9021145 10309880 12629603 14433832 18042290 20619760 25259206 28867664 36084580 50518412 63148015 72169160 101036824 126296030 144338320 202073648 252592060 505184120 1010368240