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1058663424 = 21037213541
BaseRepresentation
bin111111000110011…
…110110000000000
32201210001200012110
4333012132300000
54132004212144
6253014455320
735143330200
oct7706366000
92653050173
101058663424
114a3651555
12256664540
1313b439980
14a085c400
1562e1d0b9
hex3f19ec00

1058663424 has 264 divisors, whose sum is σ = 3541441008. Its totient is φ = 278691840.

The previous prime is 1058663401. The next prime is 1058663429. The reversal of 1058663424 is 4243668501.

It is a super-2 number, since 2×10586634242 = 2241536490630807552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1058663429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956594 + ... + 1957134.

Almost surely, 21058663424 is an apocalyptic number.

1058663424 is a gapful number since it is divisible by the number (14) 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 1058663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720504).

1058663424 is an abundant number, since it is smaller than the sum of its proper divisors (2482777584).

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

1058663424 is a wasteful number, since it uses less digits than its factorization.

1058663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1058663424 is about 32537.1084148546. The cubic root of 1058663424 is about 1019.1840918501.

The spelling of 1058663424 in words is "one billion, fifty-eight million, six hundred sixty-three thousand, four hundred twenty-four".