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19986414 = 2372157433
BaseRepresentation
bin100110000111…
…1011111101110
31101121102012120
41030033133232
520104031124
61552213410
7331611300
oct114173756
941542176
1019986414
11103110a8
12683a266
1341aa1a6
142923970
151b4bd79
hex130f7ee

19986414 has 48 divisors (see below), whose sum is σ = 46903248. Its totient is φ = 5660928.

The previous prime is 19986397. The next prime is 19986419. The reversal of 19986414 is 41468991.

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 a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19986419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45942 + ... + 46374.

It is an arithmetic number, because the mean of its divisors is an integer number (977151).

Almost surely, 219986414 is an apocalyptic number.

19986414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19986414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451624).

19986414 is an abundant number, since it is smaller than the sum of its proper divisors (26916834).

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

19986414 is a wasteful number, since it uses less digits than its factorization.

19986414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 19986414 is about 4470.6167359773. The cubic root of 19986414 is about 271.3802842740.

The spelling of 19986414 in words is "nineteen million, nine hundred eighty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 157 294 314 433 471 866 942 1099 1299 2198 2598 3031 3297 6062 6594 7693 9093 15386 18186 21217 23079 42434 46158 63651 67981 127302 135962 203943 407886 475867 951734 1427601 2855202 3331069 6662138 9993207 19986414