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19979064 = 233273809
BaseRepresentation
bin100110000110…
…1101100111000
31101121001010100
41030031230320
520103312224
61552115400
7331551000
oct114155470
941531110
1019979064
1110306626
126835b60
1341a6a41
142921000
151b49ac9
hex130db38

19979064 has 96 divisors (see below), whose sum is σ = 63180000. Its totient is φ = 5701248.

The previous prime is 19979059. The next prime is 19979081. The reversal of 19979064 is 46097991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24292 + ... + 25100.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 219979064 is an apocalyptic number.

19979064 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 19979064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590000).

19979064 is an abundant number, since it is smaller than the sum of its proper divisors (43200936).

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

19979064 is a wasteful number, since it uses less digits than its factorization.

19979064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19979064 is about 4469.7946261545. The cubic root of 19979064 is about 271.3470135123.

The spelling of 19979064 in words is "nineteen million, nine hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 809 882 1029 1176 1372 1618 1764 2058 2427 2744 3087 3236 3528 4116 4854 5663 6174 6472 7281 8232 9708 11326 12348 14562 16989 19416 22652 24696 29124 33978 39641 45304 50967 58248 67956 79282 101934 118923 135912 158564 203868 237846 277487 317128 356769 407736 475692 554974 713538 832461 951384 1109948 1427076 1664922 2219896 2497383 2854152 3329844 4994766 6659688 9989532 19979064