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19534830 = 2357297137
BaseRepresentation
bin100101010000…
…1001111101110
31100202110202020
41022201033232
520000103310
61534411010
7325020600
oct112411756
940673666
1019534830
1110032897
126660a66
13407c793
142847170
151aad170
hex12a13ee

19534830 has 96 divisors (see below), whose sum is σ = 55502496. Its totient is φ = 4386816.

The previous prime is 19534817. The next prime is 19534847. The reversal of 19534830 is 3843591.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19534791 and 19534800.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 142522 + ... + 142658.

It is an arithmetic number, because the mean of its divisors is an integer number (578151).

Almost surely, 219534830 is an apocalyptic number.

19534830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19534830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27751248).

19534830 is an abundant number, since it is smaller than the sum of its proper divisors (35967666).

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

19534830 is a wasteful number, since it uses less digits than its factorization.

19534830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 19534830 is about 4419.8223946218. The cubic root of 19534830 is about 269.3207893846.

The spelling of 19534830 in words is "nineteen million, five hundred thirty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 137 147 194 210 245 274 291 294 411 485 490 582 679 685 735 822 959 970 1358 1370 1455 1470 1918 2037 2055 2877 2910 3395 4074 4110 4753 4795 5754 6713 6790 9506 9590 10185 13289 13426 14259 14385 20139 20370 23765 26578 28518 28770 33565 39867 40278 47530 66445 67130 71295 79734 93023 100695 132890 142590 186046 199335 201390 279069 398670 465115 558138 651161 930230 1302322 1395345 1953483 2790690 3255805 3906966 6511610 9767415 19534830