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19730816 = 27719261
BaseRepresentation
bin100101101000…
…1000110000000
31101010102120222
41023101012000
520022341231
61542522212
7326465150
oct113210600
941112528
1019730816
1110157066
126736368
13411aa51
142898760
151aeb27b
hex12d1180

19730816 has 96 divisors (see below), whose sum is σ = 48188880. Its totient is φ = 7879680.

The previous prime is 19730813. The next prime is 19730833. The reversal of 19730816 is 61803791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19730813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323426 + ... + 323486.

Almost surely, 219730816 is an apocalyptic number.

19730816 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 19730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24094440).

19730816 is an abundant number, since it is smaller than the sum of its proper divisors (28458064).

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

19730816 is an equidigital number, since it uses as much as digits as its factorization.

19730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 19730816 is about 4441.9383156455. The cubic root of 19730816 is about 270.2184605958.

It can be divided in two parts, 197 and 30816, that added together give a palindrome (31013).

The spelling of 19730816 in words is "nineteen million, seven hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 64 76 112 122 128 133 152 224 244 266 304 361 427 448 488 532 608 722 854 896 976 1064 1159 1216 1444 1708 1952 2128 2318 2432 2527 2888 3416 3904 4256 4636 5054 5776 6832 7808 8113 8512 9272 10108 11552 13664 16226 17024 18544 20216 22021 23104 27328 32452 37088 40432 44042 46208 54656 64904 74176 80864 88084 129808 148352 154147 161728 176168 259616 308294 323456 352336 519232 616588 704672 1038464 1233176 1409344 2466352 2818688 4932704 9865408 19730816