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19442100 = 22352229283
BaseRepresentation
bin100101000101…
…0100110110100
31100120202112210
41022022212310
514434121400
61532413420
7324153336
oct112124664
940522483
1019442100
11aa7a157
126617270
134049502
142821456
151a90950
hex128a9b4

19442100 has 72 divisors (see below), whose sum is σ = 56697760. Its totient is φ = 5143680.

The previous prime is 19442089. The next prime is 19442117. The reversal of 19442100 is 124491.

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 23 ways as a sum of consecutive naturals, for example, 68559 + ... + 68841.

Almost surely, 219442100 is an apocalyptic number.

19442100 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 19442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28348880).

19442100 is an abundant number, since it is smaller than the sum of its proper divisors (37255660).

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

19442100 is a wasteful number, since it uses less digits than its factorization.

19442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 19442100 is about 4409.3196754148. The cubic root of 19442100 is about 268.8939664921.

Adding to 19442100 its reverse (124491), we get a palindrome (19566591).

The spelling of 19442100 in words is "nineteen million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 283 300 458 566 687 849 916 1132 1145 1374 1415 1698 2290 2748 2830 3396 3435 4245 4580 5660 5725 6870 7075 8490 11450 13740 14150 16980 17175 21225 22900 28300 34350 42450 64807 68700 84900 129614 194421 259228 324035 388842 648070 777684 972105 1296140 1620175 1944210 3240350 3888420 4860525 6480700 9721050 19442100