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19937136 = 2432318059
BaseRepresentation
bin100110000001…
…1011101110000
31101111220121110
41030003131300
520100442021
61551153320
7331314522
oct114033560
941456543
1019937136
111028807a
126815840
13419092b
14290da12
151b3c476
hex1303770

19937136 has 40 divisors (see below), whose sum is σ = 53746560. Its totient is φ = 6356416.

The previous prime is 19937131. The next prime is 19937143. The reversal of 19937136 is 63173991.

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

It is a junction number, because it is equal to n+sod(n) for n = 19937094 and 19937103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19937131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7926 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 219937136 is an apocalyptic number.

19937136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19937136 is an abundant number, since it is smaller than the sum of its proper divisors (33809424).

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

19937136 is a wasteful number, since it uses less digits than its factorization.

19937136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18087 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 19937136 is about 4465.1020145121. The cubic root of 19937136 is about 271.1570645824.

The spelling of 19937136 in words is "nineteen million, nine hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 18059 36118 54177 72236 108354 144472 216708 288944 415357 433416 830714 866832 1246071 1661428 2492142 3322856 4984284 6645712 9968568 19937136