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18898240 = 26573809
BaseRepresentation
bin100100000010…
…1110101000000
31022120010111211
41020011311000
514314220430
61513015504
7316426624
oct110056500
938503454
1018898240
11a738589
1263b4594
133bb8aba
14271d184
1519d472a
hex1205d40

18898240 has 56 divisors (see below), whose sum is σ = 45674280. Its totient is φ = 7446528.

The previous prime is 18898193. The next prime is 18898241. The reversal of 18898240 is 4289881.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 13366336 = 2352^2 + 3656^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18898193 and 18898202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18898241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22956 + ... + 23764.

Almost surely, 218898240 is an apocalyptic number.

18898240 is a gapful number since it is divisible by the number (10) 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 18898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837140).

18898240 is an abundant number, since it is smaller than the sum of its proper divisors (26776040).

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

18898240 is an equidigital number, since it uses as much as digits as its factorization.

18898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 18898240 is about 4347.2105999135. The cubic root of 18898240 is about 266.3629319537.

The spelling of 18898240 in words is "eighteen million, eight hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 809 1168 1460 1618 2336 2920 3236 4045 4672 5840 6472 8090 11680 12944 16180 23360 25888 32360 51776 59057 64720 118114 129440 236228 258880 295285 472456 590570 944912 1181140 1889824 2362280 3779648 4724560 9449120 18898240