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19443920 = 245172292
BaseRepresentation
bin100101000101…
…1000011010000
31100120212001012
41022023003100
514434201140
61532430052
7324161546
oct112130320
940525035
1019443920
11aa80561
126618328
13404a2a2
142821d96
151a91265
hex128b0d0

19443920 has 90 divisors (see below), whose sum is σ = 49735842. Its totient is φ = 7067648.

The previous prime is 19443911. The next prime is 19443923. The reversal of 19443920 is 2934491.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 399424 + 19044496 = 632^2 + 4364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19443923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 670466 + ... + 670494.

Almost surely, 219443920 is an apocalyptic number.

19443920 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 19443920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24867921).

19443920 is an abundant number, since it is smaller than the sum of its proper divisors (30291922).

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

19443920 is a wasteful number, since it uses less digits than its factorization.

19443920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 19443920 is about 4409.5260516296. The cubic root of 19443920 is about 268.9023567337.

The spelling of 19443920 in words is "nineteen million, four hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 289 290 340 464 493 578 580 680 841 986 1156 1160 1360 1445 1682 1972 2312 2320 2465 2890 3364 3944 4205 4624 4930 5780 6728 7888 8381 8410 9860 11560 13456 14297 16762 16820 19720 23120 28594 33524 33640 39440 41905 57188 67048 67280 71485 83810 114376 134096 142970 167620 228752 243049 285940 335240 486098 571880 670480 972196 1143760 1215245 1944392 2430490 3888784 4860980 9721960 19443920