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19429696 = 2611213193
BaseRepresentation
bin100101000011…
…1100101000000
31100120010112101
41022013211000
514433222241
61532240144
7324102226
oct112074500
940503471
1019429696
11aa70900
126610054
134043980
14281ab16
151a8be31
hex1287940

19429696 has 84 divisors (see below), whose sum is σ = 45875956. Its totient is φ = 8110080.

The previous prime is 19429667. The next prime is 19429717. The reversal of 19429696 is 69692491.

It can be written as a sum of positive squares in 2 ways, for example, as 3748096 + 15681600 = 1936^2 + 3960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100576 + ... + 100768.

Almost surely, 219429696 is an apocalyptic number.

19429696 is a gapful number since it is divisible by the number (16) 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 19429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937978).

19429696 is an abundant number, since it is smaller than the sum of its proper divisors (26446260).

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

19429696 is a wasteful number, since it uses less digits than its factorization.

19429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The square root of 19429696 is about 4407.9128848016. The cubic root of 19429696 is about 268.8367698188.

It can be divided in two parts, 194 and 29696, that added together give a triangular number (29890 = T244).

The spelling of 19429696 in words is "nineteen million, four hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 193 208 242 286 352 386 416 484 572 704 772 832 968 1144 1544 1573 1936 2123 2288 2509 3088 3146 3872 4246 4576 5018 6176 6292 7744 8492 9152 10036 12352 12584 16984 20072 23353 25168 27599 33968 40144 46706 50336 55198 67936 80288 93412 100672 110396 135872 160576 186824 220792 303589 373648 441584 607178 747296 883168 1214356 1494592 1766336 2428712 4857424 9714848 19429696