Search a number
-
+
1606684968 = 233275096263
BaseRepresentation
bin101111111000100…
…0001000100101000
311010222021001102200
41133301001010220
511242302404333
6423232500200
754546411510
oct13761010450
94128231380
101606684968
11754a28219
1238a0aa660
131c7b36785
14113554840
15960bec13
hex5fc41128

1606684968 has 96 divisors (see below), whose sum is σ = 4983638400. Its totient is φ = 458077824.

The previous prime is 1606684967. The next prime is 1606684979. The reversal of 1606684968 is 8694866061.

It is a super-2 number, since 2×16066849682 = 5162873172794322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1606684967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253405 + ... + 259667.

It is an arithmetic number, because the mean of its divisors is an integer number (51912900).

Almost surely, 21606684968 is an apocalyptic number.

1606684968 is a gapful number since it is divisible by the number (18) 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 1606684968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491819200).

1606684968 is an abundant number, since it is smaller than the sum of its proper divisors (3376953432).

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

1606684968 is a wasteful number, since it uses less digits than its factorization.

1606684968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 1606684968 is about 40083.4749990567. The cubic root of 1606684968 is about 1171.2337456964.

The spelling of 1606684968 in words is "one billion, six hundred six million, six hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 1018 1527 2036 3054 3563 4072 4581 6108 6263 7126 9162 10689 12216 12526 14252 18324 18789 21378 25052 28504 32067 36648 37578 42756 43841 50104 56367 64134 75156 85512 87682 112734 128268 131523 150312 175364 225468 256536 263046 350728 394569 450936 526092 789138 1052184 1578276 3156552 3187867 6375734 9563601 12751468 19127202 22315069 25502936 28690803 38254404 44630138 57381606 66945207 76508808 89260276 114763212 133890414 178520552 200835621 229526424 267780828 401671242 535561656 803342484 1606684968