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1058002240 = 2657146567
BaseRepresentation
bin111111000011111…
…101010101000000
32201201211002020011
4333003331111000
54131322032430
6252552354304
735134604431
oct7703752500
92651732204
101058002240
114a323a819
122563a5994
1313b267a39
14a0729488
1562d3c22a
hex3f0fd540

1058002240 has 56 divisors (see below), whose sum is σ = 2554906752. Its totient is φ = 417231360.

The previous prime is 1058002237. The next prime is 1058002241. The reversal of 1058002240 is 422008501.

It is a super-2 number, since 2×10580022402 = 2238737479690035200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058002241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564 + ... + 46003.

Almost surely, 21058002240 is an apocalyptic number.

1058002240 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 1058002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277453376).

1058002240 is an abundant number, since it is smaller than the sum of its proper divisors (1496904512).

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

1058002240 is an equidigital number, since it uses as much as digits as its factorization.

1058002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46655 (or 46645 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1058002240 is about 32526.9463675888. The cubic root of 1058002240 is about 1018.9718718831.

The spelling of 1058002240 in words is "one billion, fifty-eight million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 22720 46567 93134 186268 232835 372536 465670 745072 931340 1490144 1862680 2980288 3306257 3725360 6612514 7450720 13225028 14901440 16531285 26450056 33062570 52900112 66125140 105800224 132250280 211600448 264500560 529001120 1058002240