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19429980 = 22351743443
BaseRepresentation
bin100101000011…
…1101001011100
31100120010220220
41022013221130
514433224410
61532241340
7324103113
oct112075134
940503826
1019429980
11aa71039
126610250
134043b3b
14281ac7a
151a8c070
hex1287a5c

19429980 has 96 divisors (see below), whose sum is σ = 59076864. Its totient is φ = 4752384.

The previous prime is 19429967. The next prime is 19429981. The reversal of 19429980 is 8992491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19429981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43639 + ... + 44081.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 219429980 is an apocalyptic number.

19429980 is a gapful number since it is divisible by the number (10) 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 19429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538432).

19429980 is an abundant number, since it is smaller than the sum of its proper divisors (39646884).

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

19429980 is a wasteful number, since it uses less digits than its factorization.

19429980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 19429980 is about 4407.9450994766. The cubic root of 19429980 is about 268.8380796569.

The spelling of 19429980 in words is "nineteen million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 443 510 516 645 731 860 886 1020 1290 1329 1462 1772 2193 2215 2580 2658 2924 3655 4386 4430 5316 6645 7310 7531 8772 8860 10965 13290 14620 15062 19049 21930 22593 26580 30124 37655 38098 43860 45186 57147 75310 76196 90372 95245 112965 114294 150620 190490 225930 228588 285735 323833 380980 451860 571470 647666 971499 1142940 1295332 1619165 1942998 3238330 3885996 4857495 6476660 9714990 19429980