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19808064 = 26343821
BaseRepresentation
bin100101110001…
…1111101000000
31101021100120000
41023203331000
520032324224
61544320000
7330236313
oct113437500
941240500
1019808064
11101aa101
126773000
134146c63
1428b897a
151b140c9
hex12e3f40

19808064 has 70 divisors (see below), whose sum is σ = 58732674. Its totient is φ = 6600960.

The previous prime is 19808057. The next prime is 19808071. The reversal of 19808064 is 46080891.

It is a happy number.

19808064 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (19808057) and next prime (19808071).

It can be written as a sum of positive squares in only one way, i.e., 19289664 + 518400 = 4392^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3274 + ... + 7094.

Almost surely, 219808064 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 19808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29366337).

19808064 is an abundant number, since it is smaller than the sum of its proper divisors (38924610).

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

19808064 is an equidigital number, since it uses as much as digits as its factorization.

19808064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19808064 is about 4450.6251246314. The cubic root of 19808064 is about 270.5706449442.

The spelling of 19808064 in words is "nineteen million, eight hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3821 5184 7642 11463 15284 22926 30568 34389 45852 61136 68778 91704 103167 122272 137556 183408 206334 244544 275112 309501 366816 412668 550224 619002 733632 825336 1100448 1238004 1650672 2200896 2476008 3301344 4952016 6602688 9904032 19808064