Search a number
-
+
2523040312 = 23131710713337
BaseRepresentation
bin1001011001100010…
…1000101000111000
320111211112201122111
42112120220220320
520131344242222
61054205302104
7116344326442
oct22630505070
96454481574
102523040312
111085210591
125a4b64934
13312938680
1419d12b492
15eb77c777
hex96628a38

2523040312 has 64 divisors (see below), whose sum is σ = 5445105120. Its totient is φ = 1085657088.

The previous prime is 2523040279. The next prime is 2523040313. The reversal of 2523040312 is 2130403252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523040313) 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, 182508 + ... + 195844.

Almost surely, 22523040312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722552560).

2523040312 is an abundant number, since it is smaller than the sum of its proper divisors (2922064808).

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

2523040312 is a wasteful number, since it uses less digits than its factorization.

2523040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480 (or 13476 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2523040312 is about 50229.8746962403. The cubic root of 2523040312 is about 1361.3654668209.

Adding to 2523040312 its reverse (2130403252), we get a palindrome (4653443564).

The spelling of 2523040312 in words is "two billion, five hundred twenty-three million, forty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 107 136 214 221 428 442 856 884 1391 1768 1819 2782 3638 5564 7276 11128 13337 14552 23647 26674 47294 53348 94588 106696 173381 189176 226729 346762 453458 693524 906916 1387048 1427059 1813832 2854118 2947477 5708236 5894954 11416472 11789908 18551767 23579816 24260003 37103534 48520006 74207068 97040012 148414136 194080024 315380039 630760078 1261520156 2523040312