Search a number
-
+
108815328 = 2532377831
BaseRepresentation
bin1100111110001…
…10001111100000
321120202101120100
412133012033200
5210324042303
614444142400
72460625566
oct637061740
9246671510
10108815328
1156472626
1230537a00
131970c08b
1410647a36
1598468a3
hex67c63e0

108815328 has 36 divisors (see below), whose sum is σ = 309444408. Its totient is φ = 36271680.

The previous prime is 108815309. The next prime is 108815339. The reversal of 108815328 is 823518801.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 108815292 and 108815301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188628 + ... + 189203.

It is an arithmetic number, because the mean of its divisors is an integer number (8595678).

Almost surely, 2108815328 is an apocalyptic number.

108815328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

108815328 is an abundant number, since it is smaller than the sum of its proper divisors (200629080).

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

108815328 is a wasteful number, since it uses less digits than its factorization.

108815328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377847 (or 377836 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 108815328 is about 10431.4585749070. The cubic root of 108815328 is about 477.4156944809.

The spelling of 108815328 in words is "one hundred eight million, eight hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 377831 755662 1133493 1511324 2266986 3022648 3400479 4533972 6045296 6800958 9067944 12090592 13601916 18135888 27203832 36271776 54407664 108815328