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19689192 = 23321511811
BaseRepresentation
bin100101100011…
…0111011101000
31101001022111100
41023012323220
520020023232
61542001400
7326232615
oct113067350
941038440
1019689192
1110128866
126716260
134104b13
14288750c
151addc7c
hex12c6ee8

19689192 has 48 divisors (see below), whose sum is σ = 53707680. Its totient is φ = 6516000.

The previous prime is 19689167. The next prime is 19689209. The reversal of 19689192 is 29198691.

It is a super-2 number, since 2×196891922 = 775328563225728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9967 + ... + 11777.

It is an arithmetic number, because the mean of its divisors is an integer number (1118910).

Almost surely, 219689192 is an apocalyptic number.

19689192 is a gapful number since it is divisible by the number (12) 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 19689192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853840).

19689192 is an abundant number, since it is smaller than the sum of its proper divisors (34018488).

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

19689192 is a wasteful number, since it uses less digits than its factorization.

With its successor (19689193) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1967).

19689192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1967 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 19689192 is about 4437.2505000281. The cubic root of 19689192 is about 270.0283097888.

It can be divided in two parts, 19689 and 192, that added together give a square (19881 = 1412).

The spelling of 19689192 in words is "nineteen million, six hundred eighty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1811 1812 2718 3622 3624 5433 5436 7244 10866 10872 14488 16299 21732 32598 43464 65196 130392 273461 546922 820383 1093844 1640766 2187688 2461149 3281532 4922298 6563064 9844596 19689192