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18042880 = 2125881
BaseRepresentation
bin100010011010…
…1000000000000
31020221200011211
41010311000000
514104333010
61442415504
7306235102
oct104650000
936850154
1018042880
11a203979
126061594
13397967b
142579572
1518b608a
hex1135000

18042880 has 52 divisors (see below), whose sum is σ = 43346772. Its totient is φ = 7208960.

The previous prime is 18042859. The next prime is 18042887. The reversal of 18042880 is 8824081.

It can be written as a sum of positive squares in 2 ways, for example, as 4734976 + 13307904 = 2176^2 + 3648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18042887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20040 + ... + 20920.

It is a vampire number, since it can be written as 20488810 (with its own digits).

Almost surely, 218042880 is an apocalyptic number.

18042880 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 18042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673386).

18042880 is an abundant number, since it is smaller than the sum of its proper divisors (25303892).

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

18042880 is an frugal number, since it uses more digits than its factorization.

18042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 18042880 is about 4247.6911375476. The cubic root of 18042880 is about 262.2820806670.

The spelling of 18042880 in words is "eighteen million, forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 881 1024 1280 1762 2048 2560 3524 4096 4405 5120 7048 8810 10240 14096 17620 20480 28192 35240 56384 70480 112768 140960 225536 281920 451072 563840 902144 1127680 1804288 2255360 3608576 4510720 9021440 18042880