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2134821420 = 223458315877
BaseRepresentation
bin111111100111110…
…1100101000101100
312111210001011110000
41333033230220230
513333003241140
6551500344300
7103621453104
oct17717545054
95453034400
102134821420
119a6061a26
124b6b45090
13280390554
14163752204
15c7644a30
hex7f3eca2c

2134821420 has 120 divisors (see below), whose sum is σ = 6778127664. Its totient is φ = 562391424.

The previous prime is 2134821347. The next prime is 2134821431. The reversal of 2134821420 is 241284312.

2134821420 is a `hidden beast` number, since 213 + 4 + 8 + 21 + 420 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 126522 + ... + 142398.

Almost surely, 22134821420 is an apocalyptic number.

2134821420 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 2134821420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389063832).

2134821420 is an abundant number, since it is smaller than the sum of its proper divisors (4643306244).

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

2134821420 is a wasteful number, since it uses less digits than its factorization.

2134821420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15970 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2134821420 is about 46204.1277376816. The cubic root of 2134821420 is about 1287.6184290471.

The spelling of 2134821420 in words is "two billion, one hundred thirty-four million, eight hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1660 2241 2490 2988 3735 4482 4980 6723 7470 8964 11205 13446 14940 15877 22410 26892 31754 33615 44820 47631 63508 67230 79385 95262 134460 142893 158770 190524 238155 285786 317540 428679 476310 571572 714465 857358 952620 1286037 1317791 1428930 1714716 2143395 2572074 2635582 2857860 3953373 4286790 5144148 5271164 6430185 6588955 7906746 8573580 11860119 12860370 13177910 15813492 19766865 23720238 25720740 26355820 35580357 39533730 47440476 59300595 71160714 79067460 106741071 118601190 142321428 177901785 213482142 237202380 355803570 426964284 533705355 711607140 1067410710 2134821420