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19430064 = 2433411097
BaseRepresentation
bin100101000011…
…1101010110000
31100120011001000
41022013222300
514433230224
61532242000
7324103263
oct112075260
940504030
1019430064
11aa71105
126610300
134043ba4
14281acda
151a8c0c9
hex1287ab0

19430064 has 80 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 6312960.

The previous prime is 19430053. The next prime is 19430071. The reversal of 19430064 is 46003491.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 17164 + ... + 18260.

It is an arithmetic number, because the mean of its divisors is an integer number (714798).

Almost surely, 219430064 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 19430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

19430064 is an abundant number, since it is smaller than the sum of its proper divisors (37753776).

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

19430064 is a wasteful number, since it uses less digits than its factorization.

19430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 19430064 is about 4407.9546277157. The cubic root of 19430064 is about 268.8384670714.

The spelling of 19430064 in words is "nineteen million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1097 1107 1476 1968 2194 2214 2952 3291 4388 4428 5904 6582 8776 8856 9873 13164 17552 17712 19746 26328 29619 39492 44977 52656 59238 78984 89954 118476 134931 157968 179908 236952 269862 359816 404793 473904 539724 719632 809586 1079448 1214379 1619172 2158896 2428758 3238344 4857516 6476688 9715032 19430064