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19020064 = 2571941109
BaseRepresentation
bin100100010001…
…1100100100000
31022210022121211
41020203210200
514332120224
61515355504
7320445040
oct110434440
938708554
1019020064
11a811068
126452b94
133c2c39b
142751720
151a0a894
hex1223920

19020064 has 96 divisors (see below), whose sum is σ = 46569600. Its totient is φ = 7464960.

The previous prime is 19020049. The next prime is 19020073. The reversal of 19020064 is 46002091.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174442 + ... + 174550.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 219020064 is an apocalyptic number.

19020064 is a gapful number since it is divisible by the number (14) 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 19020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284800).

19020064 is an abundant number, since it is smaller than the sum of its proper divisors (27549536).

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

19020064 is a wasteful number, since it uses less digits than its factorization.

19020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 19020064 is about 4361.1998349078. The cubic root of 19020064 is about 266.9340595670.

The spelling of 19020064 in words is "nineteen million, twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 109 112 133 152 164 218 224 266 287 304 328 436 532 574 608 656 763 779 872 1064 1148 1312 1526 1558 1744 2071 2128 2296 3052 3116 3488 4142 4256 4469 4592 5453 6104 6232 8284 8938 9184 10906 12208 12464 14497 16568 17876 21812 24416 24928 28994 31283 33136 35752 43624 57988 62566 66272 71504 84911 87248 115976 125132 143008 169822 174496 231952 250264 339644 463904 500528 594377 679288 1001056 1188754 1358576 2377508 2717152 4755016 9510032 19020064