Search a number
-
+
1413065040 = 24358370937
BaseRepresentation
bin101010000111001…
…1010100101010000
310122110221010211020
41110032122211100
510343221040130
6352114515440
750005566102
oct12416324520
93573833736
101413065040
11665702752
12335295b80
131969a447a
14d5953572
15840c5e10
hex5439a950

1413065040 has 80 divisors (see below), whose sum is σ = 4433341248. Its totient is φ = 372272128.

The previous prime is 1413064999. The next prime is 1413065047. The reversal of 1413065040 is 405603141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1413065040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413065047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15549 + ... + 55388.

Almost surely, 21413065040 is an apocalyptic number.

1413065040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1413065040 is an abundant number, since it is smaller than the sum of its proper divisors (3020276208).

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

1413065040 is a wasteful number, since it uses less digits than its factorization.

1413065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71036 (or 71030 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1413065040 is about 37590.7573746526. The cubic root of 1413065040 is about 1122.1581050770.

Adding to 1413065040 its reverse (405603141), we get a palindrome (1818668181).

The spelling of 1413065040 in words is "one billion, four hundred thirteen million, sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 70937 141874 212811 283748 354685 425622 567496 709370 851244 1064055 1134992 1418740 1702488 2128110 2837480 3404976 4256220 5674960 5887771 8512440 11775542 17024880 17663313 23551084 29438855 35326626 47102168 58877710 70653252 88316565 94204336 117755420 141306504 176633130 235510840 282613008 353266260 471021680 706532520 1413065040