[go: up one dir, main page]

Search a number
-
+
16820064 = 253258403
BaseRepresentation
bin100000000101…
…0011101100000
31011122112210100
41000022131200
513301220224
61400302400
7262653042
oct100123540
934575710
1016820064
119549188
125771a00
13363bc01
14233ba92
151723ac9
hex100a760

16820064 has 36 divisors (see below), whose sum is σ = 47832876. Its totient is φ = 5606592.

The previous prime is 16820053. The next prime is 16820071. The reversal of 16820064 is 46002861.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28914 + ... + 29489.

It is an arithmetic number, because the mean of its divisors is an integer number (1328691).

Almost surely, 216820064 is an apocalyptic number.

It is an amenable number.

16820064 is an abundant number, since it is smaller than the sum of its proper divisors (31012812).

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

16820064 is a wasteful number, since it uses less digits than its factorization.

16820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58419 (or 58408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16820064 is about 4101.2271334321. The cubic root of 16820064 is about 256.2177509287.

The spelling of 16820064 in words is "sixteen million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 58403 116806 175209 233612 350418 467224 525627 700836 934448 1051254 1401672 1868896 2102508 2803344 4205016 5606688 8410032 16820064