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1058027124 = 22371110311117
BaseRepresentation
bin111111000100000…
…011011001110100
32201201212100100210
4333010003121310
54131323331444
6252553105420
735135040120
oct7704033164
92651770323
101058027124
114a3257490
122563b8270
1313b27616b
14a0734580
1562d447b9
hex3f103674

1058027124 has 96 divisors (see below), whose sum is σ = 3108059136. Its totient is φ = 272119680.

The previous prime is 1058027111. The next prime is 1058027143. The reversal of 1058027124 is 4217208501.

1058027124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10580271242 = 2238842790239422752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058027091 and 1058027100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89614 + ... + 100730.

It is an arithmetic number, because the mean of its divisors is an integer number (32375616).

Almost surely, 21058027124 is an apocalyptic number.

1058027124 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 1058027124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554029568).

1058027124 is an abundant number, since it is smaller than the sum of its proper divisors (2050032012).

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

1058027124 is a wasteful number, since it uses less digits than its factorization.

1058027124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11243 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1058027124 is about 32527.3288789596. The cubic root of 1058027124 is about 1018.9798604917.

The spelling of 1058027124 in words is "one billion, fifty-eight million, twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 462 618 721 924 1133 1236 1442 2163 2266 2884 3399 4326 4532 6798 7931 8652 11117 13596 15862 22234 23793 31724 33351 44468 47586 66702 77819 95172 122287 133404 155638 233457 244574 311276 366861 466914 489148 733722 856009 933828 1145051 1467444 1712018 2290102 2568027 3424036 3435153 4580204 5136054 6870306 8015357 10272108 12595561 13740612 16030714 24046071 25191122 32061428 37786683 48092142 50382244 75573366 88168927 96184284 151146732 176337854 264506781 352675708 529013562 1058027124