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6161220 = 22325132633
BaseRepresentation
bin10111100000001101000100
3102121000121100
4113200031010
53034124340
6340020100
7103240512
oct27401504
912530540
106161220
11352901a
122091630
1313794c0
14b654b2
1581a830
hex5e0344

6161220 has 72 divisors (see below), whose sum is σ = 20134296. Its totient is φ = 1516032.

The previous prime is 6161213. The next prime is 6161249. The reversal of 6161220 is 221616.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 6140484 = 144^2 + 2478^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6161193 and 6161202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (279643).

Almost surely, 26161220 is an apocalyptic number.

6161220 is a gapful number since it is divisible by the number (60) 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 6161220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067148).

6161220 is an abundant number, since it is smaller than the sum of its proper divisors (13973076).

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

6161220 is a wasteful number, since it uses less digits than its factorization.

6161220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6161220 is about 2482.1804930343. The cubic root of 6161220 is about 183.3252301285.

Adding to 6161220 its reverse (221616), we get a palindrome (6382836).

The spelling of 6161220 in words is "six million, one hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2633 5266 7899 10532 13165 15798 23697 26330 31596 34229 39495 47394 52660 68458 78990 94788 102687 118485 136916 157980 171145 205374 236970 308061 342290 410748 473940 513435 616122 684580 1026870 1232244 1540305 2053740 3080610 6161220