Search a number
-
+
2141410240 = 26547142381
BaseRepresentation
bin111111110100011…
…0101001111000000
312112020102220121101
41333220311033000
513341200111430
6552253504144
7104031454354
oct17750651700
95466386541
102141410240
119a9852232
124b91a2054
13281859568
14164589464
15c7ee6dca
hex7fa353c0

2141410240 has 56 divisors (see below), whose sum is σ = 5207764032. Its totient is φ = 838333440.

The previous prime is 2141410213. The next prime is 2141410241. The reversal of 2141410240 is 420141412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141410241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56151 + ... + 86230.

Almost surely, 22141410240 is an apocalyptic number.

2141410240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141410240 is an abundant number, since it is smaller than the sum of its proper divisors (3066353792).

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

2141410240 is a wasteful number, since it uses less digits than its factorization.

2141410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142445 (or 142435 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2141410240 is about 46275.3740125350. The cubic root of 2141410240 is about 1288.9417517403.

Adding to 2141410240 its reverse (420141412), we get a palindrome (2561551652).

The spelling of 2141410240 in words is "two billion, one hundred forty-one million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 15040 142381 284762 569524 711905 1139048 1423810 2278096 2847620 4556192 5695240 6691907 9112384 11390480 13383814 22780960 26767628 33459535 45561920 53535256 66919070 107070512 133838140 214141024 267676280 428282048 535352560 1070705120 2141410240