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2120086332 = 2233721330817
BaseRepresentation
bin111111001011101…
…1111001100111100
312110202022112201000
41332113133030330
513320220230312
6550212450300
7103352302500
oct17627371474
95422275630
102120086332
11998808271
124b2019990
1327a301670
141617d8300
15c61d3adc
hex7e5df33c

2120086332 has 144 divisors (see below), whose sum is σ = 6885973920. Its totient is φ = 559125504.

The previous prime is 2120086327. The next prime is 2120086333. The reversal of 2120086332 is 2336800212.

2120086332 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 8 + 633 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2120086296 and 2120086305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120086333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53388 + ... + 84204.

Almost surely, 22120086332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120086332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442986960).

2120086332 is an abundant number, since it is smaller than the sum of its proper divisors (4765887588).

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

2120086332 is a wasteful number, since it uses less digits than its factorization.

2120086332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30857 (or 30842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2120086332 is about 46044.3952289527. The cubic root of 2120086332 is about 1284.6490953406.

Adding to 2120086332 its reverse (2336800212), we get a palindrome (4456886544).

The spelling of 2120086332 in words is "two billion, one hundred twenty million, eighty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 30817 34398 61634 68796 92451 123268 184902 215719 277353 369804 400621 431438 554706 647157 801242 832059 862876 1109412 1201863 1294314 1510033 1602484 1664118 1941471 2403726 2588628 2804347 3020066 3328236 3605589 3882942 4530099 4807452 5608694 5824413 6040132 7211178 7765884 8413041 9060198 10816767 11217388 11648826 13590297 14422356 16826082 18120396 19630429 21633534 23297652 25239123 27180594 33652164 39260858 40770891 43267068 50478246 54361188 58891287 75717369 78521716 81541782 100956492 117782574 151434738 163083564 176673861 235565148 302869476 353347722 530021583 706695444 1060043166 2120086332