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1000241240 = 2351710314281
BaseRepresentation
bin111011100111100…
…111100001011000
32120201010112000212
4323213213201120
54022030204430
6243130350252
733533624135
oct7347474130
92521115025
101000241240
11473679059
1223ab8b388
1312c2c2c2b
1496bb158c
155cc2cb95
hex3b9e7858

1000241240 has 64 divisors (see below), whose sum is σ = 2406231360. Its totient is φ = 372879360.

The previous prime is 1000241237. The next prime is 1000241293. The reversal of 1000241240 is 421420001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62900 + ... + 77180.

It is an arithmetic number, because the mean of its divisors is an integer number (37597365).

Almost surely, 21000241240 is an apocalyptic number.

1000241240 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 1000241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203115680).

1000241240 is an abundant number, since it is smaller than the sum of its proper divisors (1405990120).

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

1000241240 is a wasteful number, since it uses less digits than its factorization.

1000241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1000241240 is about 31626.5907109824. The cubic root of 1000241240 is about 1000.0804068679.

Adding to 1000241240 its reverse (421420001), we get a palindrome (1421661241).

The spelling of 1000241240 in words is "one billion, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 103 136 170 206 340 412 515 680 824 1030 1751 2060 3502 4120 7004 8755 14008 14281 17510 28562 35020 57124 70040 71405 114248 142810 242777 285620 485554 571240 971108 1213885 1470943 1942216 2427770 2941886 4855540 5883772 7354715 9711080 11767544 14709430 25006031 29418860 50012062 58837720 100024124 125030155 200048248 250060310 500120620 1000241240