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2058959070 = 2325711032963
BaseRepresentation
bin111101010111001…
…0011100011011110
312022111021221212100
41322232103203132
513204043142240
6540150345530
7102010602060
oct17256234336
95274257770
102058959070
11967257473
1249565b2a6
1326a74b59c
14157645730
15c0b5be30
hex7ab938de

2058959070 has 96 divisors (see below), whose sum is σ = 6125663232. Its totient is φ = 470033856.

The previous prime is 2058959069. The next prime is 2058959129. The reversal of 2058959070 is 709598502.

It is a happy number.

2058959070 is a `hidden beast` number, since 2 + 0 + 58 + 9 + 590 + 7 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693409 + ... + 696371.

It is an arithmetic number, because the mean of its divisors is an integer number (63808992).

Almost surely, 22058959070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058959070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062831616).

2058959070 is an abundant number, since it is smaller than the sum of its proper divisors (4066704162).

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

2058959070 is a wasteful number, since it uses less digits than its factorization.

2058959070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 2058959070 is about 45375.7542086079. The cubic root of 2058959070 is about 1272.1819745288.

The spelling of 2058959070 in words is "two billion, fifty-eight million, nine hundred fifty-nine thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1103 2206 2963 3309 5515 5926 6618 7721 8889 9927 11030 14815 15442 16545 17778 19854 20741 23163 26667 29630 33090 38605 41482 44445 46326 49635 53334 62223 69489 77210 88890 99270 103705 115815 124446 133335 138978 186669 207410 231630 266670 311115 347445 373338 622230 694890 933345 1866690 3268189 6536378 9804567 16340945 19609134 22877323 29413701 32681890 45754646 49022835 58827402 68631969 98045670 114386615 137263938 147068505 205895907 228773230 294137010 343159845 411791814 686319690 1029479535 2058959070