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2461000 = 235323107
BaseRepresentation
bin1001011000110101001000
311122000212011
421120311020
51112223000
6124425304
726626633
oct11306510
94560764
102461000
111430a93
129a8234
13682219
14480c1a
153392ba
hex258d48

2461000 has 64 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 932800.

The previous prime is 2460989. The next prime is 2461001. The reversal of 2461000 is 1642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461001) 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, 22947 + ... + 23053.

It is an arithmetic number, because the mean of its divisors is an integer number (94770).

22461000 is an apocalyptic number.

2461000 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 2461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032640).

2461000 is an abundant number, since it is smaller than the sum of its proper divisors (3604280).

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

2461000 is a wasteful number, since it uses less digits than its factorization.

2461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2461000 is about 1568.7574701017. The cubic root of 2461000 is about 135.0114302165.

Adding to 2461000 its reverse (1642), we get a palindrome (2462642).

The spelling of 2461000 in words is "two million, four hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 107 115 125 184 200 214 230 250 428 460 500 535 575 856 920 1000 1070 1150 2140 2300 2461 2675 2875 4280 4600 4922 5350 5750 9844 10700 11500 12305 13375 19688 21400 23000 24610 26750 49220 53500 61525 98440 107000 123050 246100 307625 492200 615250 1230500 2461000