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103616406 = 2327181077
BaseRepresentation
bin1100010110100…
…00111110010110
321012222020222200
412023100332112
5203011211111
614140505330
72365503435
oct613207626
9235866880
10103616406
11535415a3
122a84b246
131860b8aa
14da9311c
15916b256
hex62d0f96

103616406 has 24 divisors (see below), whose sum is σ = 227667024. Its totient is φ = 34051920.

The previous prime is 103616399. The next prime is 103616407. The reversal of 103616406 is 604616301.

103616406 is a `hidden beast` number, since 1 + 0 + 3 + 616 + 40 + 6 = 666.

It is a super-3 number, since 3×1036164063 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103616406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103616407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39261 + ... + 41816.

It is an arithmetic number, because the mean of its divisors is an integer number (9486126).

Almost surely, 2103616406 is an apocalyptic number.

103616406 is an abundant number, since it is smaller than the sum of its proper divisors (124050618).

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

103616406 is a wasteful number, since it uses less digits than its factorization.

103616406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81156 (or 81153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103616406 is about 10179.2144097666. The cubic root of 103616406 is about 469.6880471054.

The spelling of 103616406 in words is "one hundred three million, six hundred sixteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 81077 162154 243231 486462 729693 1459386 5756467 11512934 17269401 34538802 51808203 103616406