Search a number
-
+
1245513040 = 245312691867
BaseRepresentation
bin100101000111101…
…0000010101010000
310012210122121200121
41022033100111100
510022322404130
6323331400024
742602454232
oct11217202520
93183577617
101245513040
1158a072422
122a9153014
1316b06b485
14bb5ba252
157452ad7a
hex4a3d0550

1245513040 has 80 divisors (see below), whose sum is σ = 3001950720. Its totient is φ = 480084480.

The previous prime is 1245513013. The next prime is 1245513097. The reversal of 1245513040 is 403155421.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1245512996 and 1245513014.

It is a congruent number.

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, 666187 + ... + 668053.

It is an arithmetic number, because the mean of its divisors is an integer number (37524384).

Almost surely, 21245513040 is an apocalyptic number.

1245513040 is a gapful number since it is divisible by the number (10) 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 1245513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500975360).

1245513040 is an abundant number, since it is smaller than the sum of its proper divisors (1756437680).

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

1245513040 is a wasteful number, since it uses less digits than its factorization.

1245513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1245513040 is about 35291.8268158507. The cubic root of 1245513040 is about 1075.9268847469.

Adding to 1245513040 its reverse (403155421), we get a palindrome (1648668461).

The spelling of 1245513040 in words is "one billion, two hundred forty-five million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 269 310 496 538 620 1076 1240 1345 1867 2152 2480 2690 3734 4304 5380 7468 8339 9335 10760 14936 16678 18670 21520 29872 33356 37340 41695 57877 66712 74680 83390 115754 133424 149360 166780 231508 289385 333560 463016 502223 578770 667120 926032 1004446 1157540 2008892 2315080 2511115 4017784 4630160 5022230 8035568 10044460 15568913 20088920 31137826 40177840 62275652 77844565 124551304 155689130 249102608 311378260 622756520 1245513040