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18880080 = 243597811
BaseRepresentation
bin100100000000…
…1011001010000
31022112012121020
41020001121100
514313130310
61512355440
7316322652
oct110013120
938465536
1018880080
11a72597a
1263a5b80
133bb075b
1427166d2
1519ce170
hex1201650

18880080 has 80 divisors (see below), whose sum is σ = 59204544. Its totient is φ = 4976640.

The previous prime is 18880061. The next prime is 18880087. The reversal of 18880080 is 8008881.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18880087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22875 + ... + 23685.

Almost surely, 218880080 is an apocalyptic number.

18880080 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 18880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29602272).

18880080 is an abundant number, since it is smaller than the sum of its proper divisors (40324464).

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

18880080 is a wasteful number, since it uses less digits than its factorization.

18880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 18880080 is about 4345.1214022165. The cubic root of 18880080 is about 266.2775853629.

The spelling of 18880080 in words is "eighteen million, eight hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 811 970 1164 1455 1552 1622 1940 2328 2433 2910 3244 3880 4055 4656 4866 5820 6488 7760 8110 9732 11640 12165 12976 16220 19464 23280 24330 32440 38928 48660 64880 78667 97320 157334 194640 236001 314668 393335 472002 629336 786670 944004 1180005 1258672 1573340 1888008 2360010 3146680 3776016 4720020 6293360 9440040 18880080