[go: up one dir, main page]

Search a number
-
+
108059616 = 25337171051
BaseRepresentation
bin1100111000011…
…01101111100000
321112022222221000
412130031233200
5210130401431
614420032000
72451330420
oct634155740
9245288830
10108059616
1155aa6875
1230232600
1319506102
14104cc480
1597479e6
hex670dbe0

108059616 has 192 divisors, whose sum is σ = 381749760. Its totient is φ = 29030400.

The previous prime is 108059591. The next prime is 108059629. The reversal of 108059616 is 616950801.

It is a super-2 number, since 2×1080596162 = 23353761220134912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102291 + ... + 103341.

It is an arithmetic number, because the mean of its divisors is an integer number (1988280).

Almost surely, 2108059616 is an apocalyptic number.

108059616 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 108059616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190874880).

108059616 is an abundant number, since it is smaller than the sum of its proper divisors (273690144).

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

108059616 is a wasteful number, since it uses less digits than its factorization.

108059616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 108059616 is about 10395.1727258377. The cubic root of 108059616 is about 476.3079240106.

The spelling of 108059616 in words is "one hundred eight million, fifty-nine thousand, six hundred sixteen".