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19928064 = 210313499
BaseRepresentation
bin100110000000…
…1010000000000
31101111110011110
41030001100000
520100144224
61551043320
7331246212
oct114012000
941443143
1019928064
1110281282
126810540
134189770
14290a5b2
151b39929
hex1301400

19928064 has 88 divisors (see below), whose sum is σ = 57316000. Its totient is φ = 6119424.

The previous prime is 19928057. The next prime is 19928101. The reversal of 19928064 is 46082991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39687 + ... + 40185.

Almost surely, 219928064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28658000).

19928064 is an abundant number, since it is smaller than the sum of its proper divisors (37387936).

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

19928064 is a wasteful number, since it uses less digits than its factorization.

19928064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 19928064 is about 4464.0860206766. The cubic root of 19928064 is about 271.1159301203.

The spelling of 19928064 in words is "nineteen million, nine hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 499 512 624 768 832 998 1024 1248 1497 1536 1664 1996 2496 2994 3072 3328 3992 4992 5988 6487 6656 7984 9984 11976 12974 13312 15968 19461 19968 23952 25948 31936 38922 39936 47904 51896 63872 77844 95808 103792 127744 155688 191616 207584 255488 311376 383232 415168 510976 622752 766464 830336 1245504 1532928 1660672 2491008 3321344 4982016 6642688 9964032 19928064