Search a number
-
+
116453376 = 2123713
BaseRepresentation
bin1101111000011…
…11000000000000
322010010110000000
412330033000000
5214303002001
615320000000
72612560134
oct674170000
9263113000
10116453376
115a80a166
1233000000
131b184830
14116753c4
15a354a86
hex6f0f000

116453376 has 208 divisors, whose sum is σ = 376130720. Its totient is φ = 35831808.

The previous prime is 116453371. The next prime is 116453377. The reversal of 116453376 is 673354611.

116453376 is a `hidden beast` number, since 1 + 1 + 645 + 3 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×1164533762 = 27122777563594752, which contains 22 as substring.

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

Its product of digits (45360) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 116453376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116453371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957946 + ... + 8957958.

Almost surely, 2116453376 is an apocalyptic number.

116453376 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 116453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188065360).

116453376 is an abundant number, since it is smaller than the sum of its proper divisors (259677344).

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

116453376 is an frugal number, since it uses more digits than its factorization.

116453376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 18 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 116453376 is about 10791.3565412324. The cubic root of 116453376 is about 488.3344477940.

The spelling of 116453376 in words is "one hundred sixteen million, four hundred fifty-three thousand, three hundred seventy-six".