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146106016 = 2573791721
BaseRepresentation
bin10001011010101…
…10011010100000
3101011220221202221
420231112122200
5244400343031
622255320424
73422611030
oct1055263240
9334827687
10146106016
1175522681
1240b20114
1324367684
14155938c0
15cc60a11
hex8b566a0

146106016 has 48 divisors (see below), whose sum is σ = 329797440. Its totient is φ = 62415360.

The previous prime is 146106011. The next prime is 146106019. The reversal of 146106016 is 610601641.

It is a super-2 number, since 2×1461060162 = 42693935822784512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146106011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84036 + ... + 85756.

It is an arithmetic number, because the mean of its divisors is an integer number (6870780).

Almost surely, 2146106016 is an apocalyptic number.

146106016 is a gapful number since it is divisible by the number (16) 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 146106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164898720).

146106016 is an abundant number, since it is smaller than the sum of its proper divisors (183691424).

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

146106016 is a wasteful number, since it uses less digits than its factorization.

146106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 146106016 is about 12087.4321507920. The cubic root of 146106016 is about 526.6911644500.

Adding to 146106016 its reverse (610601641), we get a palindrome (756707657).

The spelling of 146106016 in words is "one hundred forty-six million, one hundred six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 379 758 1516 1721 2653 3032 3442 5306 6064 6884 10612 12047 12128 13768 21224 24094 27536 42448 48188 55072 84896 96376 192752 385504 652259 1304518 2609036 4565813 5218072 9131626 10436144 18263252 20872288 36526504 73053008 146106016