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6161000 = 235361101
BaseRepresentation
bin10111100000001001101000
3102121000022012
4113200021220
53034123000
6340015052
7103240046
oct27401150
912530265
106161000
11352893a
122091488
131379381
14b65396
1581a735
hex5e0268

6161000 has 64 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 2400000.

The previous prime is 6160993. The next prime is 6161003. The reversal of 6161000 is 1616.

6161000 = T139 + T140 + ... + T340.

It can be written as a sum of positive squares in 8 ways, for example, as 178084 + 5982916 = 422^2 + 2446^2 .

It is not an unprimeable number, because it can be changed into a prime (6161003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60950 + ... + 61050.

Almost surely, 26161000 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 6161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399080).

6161000 is an abundant number, since it is smaller than the sum of its proper divisors (8637160).

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

6161000 is a wasteful number, since it uses less digits than its factorization.

6161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6161000 is about 2482.1361767639. The cubic root of 6161000 is about 183.3230480915.

Adding to 6161000 its reverse (1616), we get a palindrome (6162616).

The spelling of 6161000 in words is "six million, one hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 101 122 125 200 202 244 250 305 404 488 500 505 610 808 1000 1010 1220 1525 2020 2440 2525 3050 4040 5050 6100 6161 7625 10100 12200 12322 12625 15250 20200 24644 25250 30500 30805 49288 50500 61000 61610 101000 123220 154025 246440 308050 616100 770125 1232200 1540250 3080500 6161000