Search a number
-
+
4013620 = 2251343359
BaseRepresentation
bin1111010011111000110100
321112220122121
433103320310
52011413440
6222005324
746054342
oct17237064
97486577
104013620
1122a1546
121416844
13aa6b30
14766992
1554434a
hex3d3e34

4013620 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1443456.

The previous prime is 4013591. The next prime is 4013621. The reversal of 4013620 is 263104.

It is a super-2 number, since 2×40136202 = 32218291008800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013594 and 4013603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013621) 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, 11001 + ... + 11359.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 24013620 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 4013620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

4013620 is an abundant number, since it is smaller than the sum of its proper divisors (5300300).

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

4013620 is a wasteful number, since it uses less digits than its factorization.

4013620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4013620 is about 2003.4021064180. The cubic root of 4013620 is about 158.9200711092.

Adding to 4013620 its reverse (263104), we get a palindrome (4276724).

The spelling of 4013620 in words is "four million, thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 359 430 559 718 860 1118 1436 1795 2236 2795 3590 4667 5590 7180 9334 11180 15437 18668 23335 30874 46670 61748 77185 93340 154370 200681 308740 401362 802724 1003405 2006810 4013620