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18880000 = 295459
BaseRepresentation
bin100100000000…
…1011000000000
31022112012111021
41020001120000
514313130000
61512355224
7316322506
oct110013000
938465437
1018880000
11a725907
1263a5b14
133bb06c9
142716676
1519ce11a
hex1201600

18880000 has 100 divisors (see below), whose sum is σ = 47937780. Its totient is φ = 7424000.

The previous prime is 18879919. The next prime is 18880007. The reversal of 18880000 is 8881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319971 + ... + 320029.

Almost surely, 218880000 is an apocalyptic number.

18880000 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 18880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968890).

18880000 is an abundant number, since it is smaller than the sum of its proper divisors (29057780).

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

18880000 is an frugal number, since it uses more digits than its factorization.

18880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 18880000 is about 4345.1121964801. The cubic root of 18880000 is about 266.2772092657.

Adding to 18880000 its reverse (8881), we get a palindrome (18888881).

The spelling of 18880000 in words is "eighteen million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 128 160 200 236 250 256 295 320 400 472 500 512 590 625 640 800 944 1000 1180 1250 1280 1475 1600 1888 2000 2360 2500 2560 2950 3200 3776 4000 4720 5000 5900 6400 7375 7552 8000 9440 10000 11800 12800 14750 15104 16000 18880 20000 23600 29500 30208 32000 36875 37760 40000 47200 59000 64000 73750 75520 80000 94400 118000 147500 151040 160000 188800 236000 295000 320000 377600 472000 590000 755200 944000 1180000 1888000 2360000 3776000 4720000 9440000 18880000