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2140877484 = 2232314171659
BaseRepresentation
bin111111110011011…
…0011001010101100
312112012102211210200
41333212303022230
513341031034414
6552234233500
7104024105214
oct17746631254
95465384720
102140877484
119a9518a39
124b8b85890
13281700c15
1416448b244
15c7e3e109
hex7f9b32ac

2140877484 has 144 divisors (see below), whose sum is σ = 5811886080. Its totient is φ = 663264000.

The previous prime is 2140877483. The next prime is 2140877503. The reversal of 2140877484 is 4847780412.

It is not an unprimeable number, because it can be changed into a prime (2140877483) by changing a digit.

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, 3248347 + ... + 3249005.

It is an arithmetic number, because the mean of its divisors is an integer number (40360320).

Almost surely, 22140877484 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 2140877484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

2140877484 is an abundant number, since it is smaller than the sum of its proper divisors (3671008596).

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

2140877484 is a wasteful number, since it uses less digits than its factorization.

2140877484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 2140877484 is about 46269.6172882379. The cubic root of 2140877484 is about 1288.8348520295.

The spelling of 2140877484 in words is "two billion, one hundred forty million, eight hundred seventy-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 71 82 93 123 124 142 164 186 213 246 279 284 369 372 426 492 558 639 659 738 852 1116 1271 1278 1318 1476 1977 2201 2542 2556 2636 2911 3813 3954 4402 5084 5822 5931 6603 7626 7908 8733 8804 11439 11644 11862 13206 15252 17466 19809 20429 22878 23724 26199 26412 27019 34932 39618 40858 45756 46789 52398 54038 61287 79236 81057 81716 90241 93578 104796 108076 122574 140367 162114 180482 183861 187156 243171 245148 270723 280734 324228 360964 367722 421101 486342 541446 561468 735444 812169 837589 842202 972684 1082892 1450459 1624338 1675178 1684404 1918349 2512767 2900918 3248676 3350356 3836698 4351377 5025534 5755047 5801836 7538301 7673396 8702754 10051068 11510094 13054131 15076602 17265141 17405508 23020188 26108262 30153204 34530282 52216524 59468819 69060564 118937638 178406457 237875276 356812914 535219371 713625828 1070438742 2140877484