Search a number
-
+
1058536128 = 26313424093
BaseRepresentation
bin111111000101111…
…111101011000000
32201202211012120210
4333011333223000
54131441124003
6253012034120
735142260106
oct7705775300
92652735523
101058536128
114a3574951
12256602940
1313b3c3a50
14a0827c76
1562de5503
hex3f17fac0

1058536128 has 56 divisors (see below), whose sum is σ = 3016156528. Its totient is φ = 325702656.

The previous prime is 1058536121. The next prime is 1058536133. The reversal of 1058536128 is 8216358501.

It is a super-2 number, since 2×10585361282 = 2240997468562464768, 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 (1058536121) 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, 209551 + ... + 214542.

It is an arithmetic number, because the mean of its divisors is an integer number (53859938).

Almost surely, 21058536128 is an apocalyptic number.

It is an amenable number.

1058536128 is an abundant number, since it is smaller than the sum of its proper divisors (1957620400).

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

1058536128 is a wasteful number, since it uses less digits than its factorization.

1058536128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424121 (or 424111 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 1058536128 is about 32535.1521895933. The cubic root of 1058536128 is about 1019.1432405730.

The spelling of 1058536128 in words is "one billion, fifty-eight million, five hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 424093 848186 1272279 1696372 2544558 3392744 5089116 5513209 6785488 10178232 11026418 13570976 16539627 20356464 22052836 27141952 33079254 40712928 44105672 66158508 81425856 88211344 132317016 176422688 264634032 352845376 529268064 1058536128