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19997136 = 2432138869
BaseRepresentation
bin100110001001…
…0000111010000
31101121221220200
41030102013100
520104402021
61552335200
7331654455
oct114220720
941557820
1019997136
1110319165
126844500
1341b2033
14292782c
151b50126
hex13121d0

19997136 has 30 divisors (see below), whose sum is σ = 55964610. Its totient is φ = 6665664.

The previous prime is 19997129. The next prime is 19997147. The reversal of 19997136 is 63179991.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 9884736 = 3180^2 + 3144^2 .

It is a super-4 number, since 4×199971364 (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19997091 and 19997100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69291 + ... + 69578.

It is an arithmetic number, because the mean of its divisors is an integer number (1865487).

Almost surely, 219997136 is an apocalyptic number.

19997136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19997136 is an abundant number, since it is smaller than the sum of its proper divisors (35967474).

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

19997136 is a wasteful number, since it uses less digits than its factorization.

19997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138883 (or 138874 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 19997136 is about 4471.8157386010. The cubic root of 19997136 is about 271.4288042209.

The spelling of 19997136 in words is "nineteen million, nine hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 138869 277738 416607 555476 833214 1110952 1249821 1666428 2221904 2499642 3332856 4999284 6665712 9998568 19997136