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2130885504 = 273211215287
BaseRepresentation
bin111111100000010…
…1011101110000000
312111111122012101100
41333000223232000
513331001314004
6551240134400
7103543141116
oct17700535600
95444565340
102130885504
119a3913900
124b5767400
1327c612bc7
14163009ab6
15c7118739
hex7f02bb80

2130885504 has 144 divisors (see below), whose sum is σ = 6740402760. Its totient is φ = 645680640.

The previous prime is 2130885503. The next prime is 2130885539. The reversal of 2130885504 is 4055880312.

It is a happy number.

2130885504 is a `hidden beast` number, since 21 + 3 + 0 + 88 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130885503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131749 + ... + 147035.

Almost surely, 22130885504 is an apocalyptic number.

2130885504 is a gapful number since it is divisible by the number (24) 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 2130885504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370201380).

2130885504 is an abundant number, since it is smaller than the sum of its proper divisors (4609517256).

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

2130885504 is a wasteful number, since it uses less digits than its factorization.

2130885504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15329 (or 15303 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2130885504 is about 46161.5153997353. The cubic root of 2130885504 is about 1286.8266257798.

The spelling of 2130885504 in words is "two billion, one hundred thirty million, eight hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15287 15488 17424 23232 30574 34848 45861 46464 61148 69696 91722 122296 137583 139392 168157 183444 244592 275166 336314 366888 489184 504471 550332 672628 733776 978368 1008942 1100664 1345256 1467552 1513413 1849727 1956736 2017884 2201328 2690512 2935104 3026826 3699454 4035768 4402656 5381024 5549181 5870208 6053652 7398908 8071536 8805312 10762048 11098362 12107304 14797816 16143072 16647543 17610624 21524096 22196724 24214608 29595632 32286144 33295086 44393448 48429216 59191264 64572288 66590172 88786896 96858432 118382528 133180344 177573792 193716864 236765056 266360688 355147584 532721376 710295168 1065442752 2130885504