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19918137 = 3192231567
BaseRepresentation
bin100101111111…
…0110100111001
31101110221112210
41023332310321
520044340022
61550525333
7331205241
oct113766471
941427483
1019918137
1110274878
126806849
1341850a5
142906b21
151b36a0c
hex12fed39

19918137 has 16 divisors (see below), whose sum is σ = 28098560. Its totient is φ = 12515472.

The previous prime is 19918133. The next prime is 19918139. The reversal of 19918137 is 73181991.

It is not a de Polignac number, because 19918137 - 22 = 19918133 is a prime.

It is a super-3 number, since 3×199181373 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19918095 and 19918104.

It is not an unprimeable number, because it can be changed into a prime (19918133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11928 + ... + 13494.

It is an arithmetic number, because the mean of its divisors is an integer number (1756160).

Almost surely, 219918137 is an apocalyptic number.

It is an amenable number.

19918137 is a deficient number, since it is larger than the sum of its proper divisors (8180423).

19918137 is a wasteful number, since it uses less digits than its factorization.

19918137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812.

The product of its digits is 13608, while the sum is 39.

The square root of 19918137 is about 4462.9740084388. The cubic root of 19918137 is about 271.0709045915.

It can be divided in two parts, 199 and 18137, that added together give a triangular number (18336 = T191).

The spelling of 19918137 in words is "nineteen million, nine hundred eighteen thousand, one hundred thirty-seven".

Divisors: 1 3 19 57 223 669 1567 4237 4701 12711 29773 89319 349441 1048323 6639379 19918137