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2142420030 = 23457137253
BaseRepresentation
bin111111110110010…
…1011110000111110
312112022100012210000
41333230223300332
513341424420110
6552331255130
7104043161352
oct17754536076
95468305700
102142420030
119aa381973
124b95aa4a6
13281b2107a
1416476d462
15c81461c0
hex7fb2bc3e

2142420030 has 80 divisors (see below), whose sum is σ = 5842023264. Its totient is φ = 563250240.

The previous prime is 2142419999. The next prime is 2142420043. The reversal of 2142420030 is 300242412.

2142420030 is a `hidden beast` number, since 214 + 2 + 420 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2142419985 and 2142420012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38884 + ... + 76136.

Almost surely, 22142420030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921011632).

2142420030 is an abundant number, since it is smaller than the sum of its proper divisors (3699603234).

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

2142420030 is a wasteful number, since it uses less digits than its factorization.

2142420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37343 (or 37334 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2142420030 is about 46286.2833893585. The cubic root of 2142420030 is about 1289.1443216692.

Adding to 2142420030 its reverse (300242412), we get a palindrome (2442662442).

The spelling of 2142420030 in words is "two billion, one hundred forty-two million, four hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 270 355 405 426 639 710 810 1065 1278 1917 2130 3195 3834 5751 6390 9585 11502 19170 28755 37253 57510 74506 111759 186265 223518 335277 372530 558795 670554 1005831 1117590 1676385 2011662 2644963 3017493 3352770 5029155 5289926 6034986 7934889 10058310 13224815 15087465 15869778 23804667 26449630 30174930 39674445 47609334 71414001 79348890 119023335 142828002 214242003 238046670 357070005 428484006 714140010 1071210015 2142420030