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19928430 = 235559139
BaseRepresentation
bin100110000000…
…1010101101110
31101111110200000
41030001111232
520100202210
61551045130
7331250244
oct114012556
941443600
1019928430
1110281585
1268107a6
134189992
14290a794
151b39ac0
hex130156e

19928430 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5186592.

The previous prime is 19928401. The next prime is 19928453. The reversal of 19928430 is 3482991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143301 + ... + 143439.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 219928430 is an apocalyptic number.

19928430 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 19928430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

19928430 is an abundant number, since it is smaller than the sum of its proper divisors (35108370).

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

19928430 is a wasteful number, since it uses less digits than its factorization.

19928430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19928430 is about 4464.1270143221. The cubic root of 19928430 is about 271.1175898872.

The spelling of 19928430 in words is "nineteen million, nine hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 139 162 177 243 270 278 295 354 405 417 486 531 590 695 810 834 885 1062 1215 1251 1390 1593 1770 2085 2430 2502 2655 3186 3753 4170 4779 5310 6255 7506 7965 8201 9558 11259 12510 14337 15930 16402 18765 22518 23895 24603 28674 33777 37530 41005 47790 49206 56295 67554 71685 73809 82010 112590 123015 143370 147618 168885 221427 246030 337770 369045 442854 664281 738090 1107135 1328562 1992843 2214270 3321405 3985686 6642810 9964215 19928430