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19985180 = 22537113239
BaseRepresentation
bin100110000111…
…1001100011100
31101121100111212
41030033030130
520104011210
61552203552
7331604555
oct114171434
941540455
1019985180
1110310186
1268395b8
1341a9767
14292332c
151b4b805
hex130f31c

19985180 has 48 divisors (see below), whose sum is σ = 43666560. Its totient is φ = 7676928.

The previous prime is 19985179. The next prime is 19985191. The reversal of 19985180 is 8158991.

It is a congruent number.

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, 83501 + ... + 83739.

It is an arithmetic number, because the mean of its divisors is an integer number (909720).

Almost surely, 219985180 is an apocalyptic number.

19985180 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 19985180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280).

19985180 is an abundant number, since it is smaller than the sum of its proper divisors (23681380).

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

19985180 is a wasteful number, since it uses less digits than its factorization.

19985180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 41.

The square root of 19985180 is about 4470.4787215689. The cubic root of 19985180 is about 271.3746989771.

The spelling of 19985180 in words is "nineteen million, nine hundred eighty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 113 148 185 226 239 370 452 478 565 740 956 1130 1195 2260 2390 4181 4780 8362 8843 16724 17686 20905 27007 35372 41810 44215 54014 83620 88430 108028 135035 176860 270070 540140 999259 1998518 3997036 4996295 9992590 19985180