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101616520 = 2352540413
BaseRepresentation
bin1100000111010…
…00101110001000
321002012122122211
412003220232020
5202003212040
614025554504
72342504035
oct603505610
9232178584
10101616520
11523a5aa5
122a045a34
131808b525
14d6d238c
158dc38ea
hex60e8b88

101616520 has 16 divisors (see below), whose sum is σ = 228637260. Its totient is φ = 40646592.

The previous prime is 101616499. The next prime is 101616533. The reversal of 101616520 is 25616101.

It can be written as a sum of positive squares in 2 ways, for example, as 101485476 + 131044 = 10074^2 + 362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101616491 and 101616500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1270167 + ... + 1270246.

Almost surely, 2101616520 is an apocalyptic number.

101616520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101616520 is an abundant number, since it is smaller than the sum of its proper divisors (127020740).

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

101616520 is a wasteful number, since it uses less digits than its factorization.

101616520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540424 (or 2540420 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 101616520 is about 10080.5019716282. The cubic root of 101616520 is about 466.6466000442.

The spelling of 101616520 in words is "one hundred one million, six hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2540413 5080826 10161652 12702065 20323304 25404130 50808260 101616520