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2141420460 = 2235191878439
BaseRepresentation
bin111111110100011…
…0111101110101100
312112020110102121220
41333220313232230
513341200423320
6552254023340
7104031526224
oct17750675654
95466412556
102141420460
119a9859983
124b91a7b50
132818610ca
1416458d084
15c7ee9e40
hex7fa37bac

2141420460 has 48 divisors (see below), whose sum is σ = 6311558400. Its totient is φ = 540990144.

The previous prime is 2141420423. The next prime is 2141420507. The reversal of 2141420460 is 640241412.

It is a happy number.

It is a super-2 number, since 2×21414204602 = 9171363173013223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2141420460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938080 + ... + 940359.

It is an arithmetic number, because the mean of its divisors is an integer number (131490800).

Almost surely, 22141420460 is an apocalyptic number.

2141420460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141420460 is an abundant number, since it is smaller than the sum of its proper divisors (4170137940).

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

2141420460 is a wasteful number, since it uses less digits than its factorization.

2141420460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878470 (or 1878468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2141420460 is about 46275.4844383071. The cubic root of 2141420460 is about 1288.9438022526.

Adding to 2141420460 its reverse (640241412), we get a palindrome (2781661872).

The spelling of 2141420460 in words is "two billion, one hundred forty-one million, four hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1878439 3756878 5635317 7513756 9392195 11270634 18784390 22541268 28176585 35690341 37568780 56353170 71380682 107071023 112706340 142761364 178451705 214142046 356903410 428284092 535355115 713806820 1070710230 2141420460