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18988080 = 2435611297
BaseRepresentation
bin100100001101…
…1110000110000
31022201200202020
41020123300300
514330104310
61514551440
7320252556
oct110336060
938650666
1018988080
11a79a031
126438580
133c1a967
142743bd6
151a01170
hex121bc30

18988080 has 80 divisors (see below), whose sum is σ = 59874144. Its totient is φ = 4976640.

The previous prime is 18988037. The next prime is 18988091. The reversal of 18988080 is 8088981.

It is a happy number.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13992 + ... + 15288.

Almost surely, 218988080 is an apocalyptic number.

18988080 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 18988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937072).

18988080 is an abundant number, since it is smaller than the sum of its proper divisors (40886064).

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

18988080 is a wasteful number, since it uses less digits than its factorization.

18988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 18988080 is about 4357.5314112465. The cubic root of 18988080 is about 266.7843508343.

The spelling of 18988080 in words is "eighteen million, nine hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1297 1464 1830 2440 2594 2928 3660 3891 4880 5188 6485 7320 7782 10376 12970 14640 15564 19455 20752 25940 31128 38910 51880 62256 77820 79117 103760 155640 158234 237351 311280 316468 395585 474702 632936 791170 949404 1186755 1265872 1582340 1898808 2373510 3164680 3797616 4747020 6329360 9494040 18988080