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19928480 = 2551113267
BaseRepresentation
bin100110000000…
…1010110100000
31101111110201212
41030001112200
520100202410
61551045252
7331250345
oct114012640
941443655
1019928480
1110281620
126810828
134189a00
14290a7cc
151b39b05
hex13015a0

19928480 has 144 divisors (see below), whose sum is σ = 56445984. Its totient is φ = 6589440.

The previous prime is 19928453. The next prime is 19928509. The reversal of 19928480 is 8482991.

It is a super-2 number, since 2×199284802 = 794288630220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297407 + ... + 297473.

It is an arithmetic number, because the mean of its divisors is an integer number (391986).

Almost surely, 219928480 is an apocalyptic number.

19928480 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 19928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28222992).

19928480 is an abundant number, since it is smaller than the sum of its proper divisors (36517504).

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

19928480 is a wasteful number, since it uses less digits than its factorization.

19928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 19928480 is about 4464.1326145176. The cubic root of 19928480 is about 271.1178166297.

The spelling of 19928480 in words is "nineteen million, nine hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 67 80 88 104 110 130 134 143 160 169 176 208 220 260 268 286 335 338 352 416 440 520 536 572 670 676 715 737 845 871 880 1040 1072 1144 1340 1352 1430 1474 1690 1742 1760 1859 2080 2144 2288 2680 2704 2860 2948 3380 3484 3685 3718 4355 4576 5360 5408 5720 5896 6760 6968 7370 7436 8710 9295 9581 10720 11323 11440 11792 13520 13936 14740 14872 17420 18590 19162 22646 22880 23584 27040 27872 29480 29744 34840 37180 38324 45292 47905 56615 58960 59488 69680 74360 76648 90584 95810 113230 117920 124553 139360 148720 153296 181168 191620 226460 249106 297440 306592 362336 383240 452920 498212 622765 766480 905840 996424 1245530 1532960 1811680 1992848 2491060 3985696 4982120 9964240 19928480