Search a number
-
+
2155512120 = 233547537211
BaseRepresentation
bin1000000001111010…
…1000000100111000
312120012222100202020
42000132220010320
513403302341440
6553520034440
7104262356616
oct20036500470
95505870666
102155512120
11a06804183
12501a62a20
13284756178
141663ba6b6
15c93803d0
hex807a8138

2155512120 has 128 divisors (see below), whose sum is σ = 6729661440. Its totient is φ = 551882240.

The previous prime is 2155512103. The next prime is 2155512179. The reversal of 2155512120 is 212155512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295315 + ... + 302525.

It is an arithmetic number, because the mean of its divisors is an integer number (52575480).

Almost surely, 22155512120 is an apocalyptic number.

2155512120 is a gapful number since it is divisible by the number (20) 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 2155512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364830720).

2155512120 is an abundant number, since it is smaller than the sum of its proper divisors (4574149320).

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

2155512120 is a wasteful number, since it uses less digits than its factorization.

2155512120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 2155512120 is about 46427.4931479183. The cubic root of 2155512120 is about 1291.7649298999.

Adding to 2155512120 its reverse (212155512), we get a palindrome (2367667632).

The spelling of 2155512120 in words is "two billion, one hundred fifty-five million, five hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 53 60 94 106 120 141 159 188 212 235 265 282 318 376 424 470 530 564 636 705 795 940 1060 1128 1272 1410 1590 1880 2120 2491 2820 3180 4982 5640 6360 7211 7473 9964 12455 14422 14946 19928 21633 24910 28844 29892 36055 37365 43266 49820 57688 59784 72110 74730 86532 99640 108165 144220 149460 173064 216330 288440 298920 338917 382183 432660 677834 764366 865320 1016751 1146549 1355668 1528732 1694585 1910915 2033502 2293098 2711336 3057464 3389170 3821830 4067004 4586196 5083755 5732745 6778340 7643660 8134008 9172392 10167510 11465490 13556680 15287320 17962601 20335020 22930980 35925202 40670040 45861960 53887803 71850404 89813005 107775606 143700808 179626010 215551212 269439015 359252020 431102424 538878030 718504040 1077756060 2155512120