Search a number
-
+
2135170620 = 22325111078369
BaseRepresentation
bin111111101000100…
…0001111000111100
312111210200220110100
41333101001320330
513333100424440
6551512041100
7103624436142
oct17721017074
95453626410
102135170620
119a6280320
124b7093190
1328048348b
14163803592
15c76b3230
hex7f441e3c

2135170620 has 72 divisors (see below), whose sum is σ = 7065480240. Its totient is φ = 517616640.

The previous prime is 2135170579. The next prime is 2135170627. The reversal of 2135170620 is 260715312.

It is a happy number.

2135170620 is a `hidden beast` number, since 2 + 1 + 35 + 1 + 7 + 0 + 620 = 666.

It is a super-2 number, since 2×21351706202 = 9117907153022368800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135170627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537205 + ... + 541164.

It is an arithmetic number, because the mean of its divisors is an integer number (98131670).

Almost surely, 22135170620 is an apocalyptic number.

2135170620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135170620 is an abundant number, since it is smaller than the sum of its proper divisors (4930309620).

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

2135170620 is a wasteful number, since it uses less digits than its factorization.

2135170620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078395 (or 1078390 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2135170620 is about 46207.9064663181. The cubic root of 2135170620 is about 1287.6886319279.

Adding to 2135170620 its reverse (260715312), we get a palindrome (2395885932).

The spelling of 2135170620 in words is "two billion, one hundred thirty-five million, one hundred seventy thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1078369 2156738 3235107 4313476 5391845 6470214 9705321 10783690 11862059 12940428 16175535 19410642 21567380 23724118 32351070 35586177 38821284 47448236 48526605 59310295 64702140 71172354 97053210 106758531 118620590 142344708 177930885 194106420 213517062 237241180 355861770 427034124 533792655 711723540 1067585310 2135170620