Search a number
-
+
6249620 = 225132432
BaseRepresentation
bin10111110101110010010100
3102202111212102
4113311302110
53044441440
6341541232
7104056316
oct27656224
912674772
106249620
113589483
122114818
1313aa800
14b897b6
15836b15
hex5f5c94

6249620 has 54 divisors (see below), whose sum is σ = 14549598. Its totient is φ = 2253888.

The previous prime is 6249619. The next prime is 6249647. The reversal of 6249620 is 269426.

It can be written as a sum of positive squares in 3 ways, for example, as 29584 + 6220036 = 172^2 + 2494^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 145319 + ... + 145361.

It is an arithmetic number, because the mean of its divisors is an integer number (269437).

Almost surely, 26249620 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 6249620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274799).

6249620 is an abundant number, since it is smaller than the sum of its proper divisors (8299978).

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

6249620 is a wasteful number, since it uses less digits than its factorization.

6249620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 6249620 is about 2499.9239988448. The cubic root of 6249620 is about 184.1978417044.

It can be divided in two parts, 62 and 49620, that multiplied together give a triangular number (3076440 = T2480).

The spelling of 6249620 in words is "six million, two hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 169 172 215 260 338 430 559 676 845 860 1118 1690 1849 2236 2795 3380 3698 5590 7267 7396 9245 11180 14534 18490 24037 29068 36335 36980 48074 72670 96148 120185 145340 240370 312481 480740 624962 1249924 1562405 3124810 6249620