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19640112 = 2433167197
BaseRepresentation
bin100101011101…
…0111100110000
31100221211011120
41022322330300
520011440422
61540542240
7325636542
oct112727460
940854146
1019640112
11100a49a8
1266b1980
1340b868b
142873692
151ace45c
hex12baf30

19640112 has 80 divisors (see below), whose sum is σ = 53425152. Its totient is φ = 6209280.

The previous prime is 19640099. The next prime is 19640113. The reversal of 19640112 is 21104691.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (19640113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99598 + ... + 99794.

Almost surely, 219640112 is an apocalyptic number.

19640112 is a gapful number since it is divisible by the number (12) 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 19640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712576).

19640112 is an abundant number, since it is smaller than the sum of its proper divisors (33785040).

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

19640112 is a wasteful number, since it uses less digits than its factorization.

19640112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19640112 is about 4431.7165974372. The cubic root of 19640112 is about 269.8037531420.

The spelling of 19640112 in words is "nineteen million, six hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 67 93 124 134 186 197 201 248 268 372 394 402 496 536 591 744 788 804 1072 1182 1488 1576 1608 2077 2364 3152 3216 4154 4728 6107 6231 8308 9456 12214 12462 13199 16616 18321 24428 24924 26398 33232 36642 39597 48856 49848 52796 73284 79194 97712 99696 105592 146568 158388 211184 293136 316776 409169 633552 818338 1227507 1636676 2455014 3273352 4910028 6546704 9820056 19640112