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1058934128 = 247109127683
BaseRepresentation
bin111111000111100…
…000110101110000
32201210120102112112
4333013200311300
54132041343003
6253024344452
735145535340
oct7707406560
92653512475
101058934128
114a381697a
12256775128
1313b502c55
14a08ccd20
1562e733d8
hex3f1e0d70

1058934128 has 80 divisors (see below), whose sum is σ = 2388418560. Its totient is φ = 445471488.

The previous prime is 1058934113. The next prime is 1058934133. The reversal of 1058934128 is 8214398501.

It is a super-2 number, since 2×10589341282 = 2242682974886240768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550075 + ... + 1550757.

It is an arithmetic number, because the mean of its divisors is an integer number (29855232).

Almost surely, 21058934128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058934128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

1058934128 is an abundant number, since it is smaller than the sum of its proper divisors (1329484432).

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

1058934128 is a wasteful number, since it uses less digits than its factorization.

1058934128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 1058934128 is about 32541.2680760907. The cubic root of 1058934128 is about 1019.2709541117.

The spelling of 1058934128 in words is "one billion, fifty-eight million, nine hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 127 218 254 436 508 683 763 872 889 1016 1366 1526 1744 1778 2032 2732 3052 3556 4781 5464 6104 7112 9562 10928 12208 13843 14224 19124 27686 38248 55372 74447 76496 86741 96901 110744 148894 173482 193802 221488 297788 346964 387604 521129 595576 607187 693928 775208 1042258 1191152 1214374 1387856 1550416 2084516 2428748 4169032 4857496 8338064 9454769 9714992 18909538 37819076 66183383 75638152 132366766 151276304 264733532 529467064 1058934128