Search a number
-
+
108032880 = 2435450137
BaseRepresentation
bin1100111000001…
…11001101110000
321112021122020210
412130013031300
5210124023010
614415304120
72451156444
oct634071560
9245248223
10108032880
1155a8877a
123021b040
13194c6ba7
14104c2824
15973eb20
hex6707370

108032880 has 40 divisors (see below), whose sum is σ = 334902672. Its totient is φ = 28808704.

The previous prime is 108032867. The next prime is 108032887. The reversal of 108032880 is 88230801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1080328802 = 23342206322188800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108032887) 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 7 ways as a sum of consecutive naturals, for example, 224829 + ... + 225308.

Almost surely, 2108032880 is an apocalyptic number.

108032880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108032880 is an abundant number, since it is smaller than the sum of its proper divisors (226869792).

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

108032880 is a wasteful number, since it uses less digits than its factorization.

108032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450153 (or 450147 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 108032880 is about 10393.8866647660. The cubic root of 108032880 is about 476.2686382301.

The spelling of 108032880 in words is "one hundred eight million, thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 450137 900274 1350411 1800548 2250685 2700822 3601096 4501370 5401644 6752055 7202192 9002740 10803288 13504110 18005480 21606576 27008220 36010960 54016440 108032880