Search a number
-
+
2012624740 = 225724159651
BaseRepresentation
bin111011111110110…
…0011011101100100
312012021002221010001
41313331203131210
513110212442430
6531413311044
7100606012420
oct16775433544
95167087101
102012624740
1194308a835
12482035484
13260c77819
14151423b80
15bba583ca
hex77f63764

2012624740 has 48 divisors (see below), whose sum is σ = 4850423424. Its totient is φ = 687168000.

The previous prime is 2012624711. The next prime is 2012624771. The reversal of 2012624740 is 474262102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2012624699 and 2012624708.

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, 3915 + ... + 63565.

It is an arithmetic number, because the mean of its divisors is an integer number (101050488).

Almost surely, 22012624740 is an apocalyptic number.

2012624740 is a gapful number since it is divisible by the number (20) 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 2012624740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425211712).

2012624740 is an abundant number, since it is smaller than the sum of its proper divisors (2837798684).

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

2012624740 is a wasteful number, since it uses less digits than its factorization.

2012624740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59908 (or 59906 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2012624740 is about 44862.2863884577. The cubic root of 2012624740 is about 1262.5665205613.

Adding to 2012624740 its reverse (474262102), we get a palindrome (2486886842).

The spelling of 2012624740 in words is "two billion, twelve million, six hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 4820 6748 8435 16870 33740 59651 119302 238604 298255 417557 596510 835114 1193020 1670228 2087785 4175570 8351140 14375891 28751782 57503564 71879455 100631237 143758910 201262474 287517820 402524948 503156185 1006312370 2012624740