Search a number
-
+
2487940 = 2257131367
BaseRepresentation
bin1001011111011010000100
311200101210221
421133122010
51114103230
6125154124
730101320
oct11373204
94611727
102487940
11144a254
129bb944
13691570
1448a980
1534227a
hex25f684

2487940 has 48 divisors (see below), whose sum is σ = 6435072. Its totient is φ = 786816.

The previous prime is 2487931. The next prime is 2487943. The reversal of 2487940 is 497842.

It is a happy number.

2487940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2487896 and 2487905.

It is not an unprimeable number, because it can be changed into a prime (2487943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

22487940 is an apocalyptic number.

2487940 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 2487940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536).

2487940 is an abundant number, since it is smaller than the sum of its proper divisors (3947132).

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

2487940 is a wasteful number, since it uses less digits than its factorization.

2487940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2487940 is about 1577.3205127684. The cubic root of 2487940 is about 135.5022897813.

It can be divided in two parts, 248 and 7940, that multiplied together give a triangular number (1969120 = T1984).

The spelling of 2487940 in words is "two million, four hundred eighty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1367 1820 2734 5468 6835 9569 13670 17771 19138 27340 35542 38276 47845 71084 88855 95690 124397 177710 191380 248794 355420 497588 621985 1243970 2487940