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2405088 = 253271193
BaseRepresentation
bin1001001011001011100000
311112012011100
421023023200
51103430323
6123314400
726304630
oct11131340
94465140
102405088
1113a2a84
1297ba00
1366293a
144686c0
15327943
hex24b2e0

2405088 has 72 divisors (see below), whose sum is σ = 7823088. Its totient is φ = 686592.

The previous prime is 2405071. The next prime is 2405089. The reversal of 2405088 is 8805042.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1420 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (108654).

22405088 is an apocalyptic number.

2405088 is a gapful number since it is divisible by the number (28) 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 2405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911544).

2405088 is an abundant number, since it is smaller than the sum of its proper divisors (5418000).

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

2405088 is a wasteful number, since it uses less digits than its factorization.

2405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2405088 is about 1550.8346140063. The cubic root of 2405088 is about 133.9811364254.

The spelling of 2405088 in words is "two million, four hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1193 2016 2386 3579 4772 7158 8351 9544 10737 14316 16702 19088 21474 25053 28632 33404 38176 42948 50106 57264 66808 75159 85896 100212 114528 133616 150318 171792 200424 267232 300636 343584 400848 601272 801696 1202544 2405088