Search a number
-
+
117120000 = 21035461
BaseRepresentation
bin1101111101100…
…01110000000000
322011101022102210
412332301300000
5214440320000
615342142120
72621334504
oct676616000
9264338383
10117120000
1160124a98
1233281940
131b35909a
14117aa304
15a437350
hex6fb1c00

117120000 has 220 divisors, whose sum is σ = 396479336. Its totient is φ = 30720000.

The previous prime is 117119999. The next prime is 117120007. The reversal of 117120000 is 21711.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919970 + ... + 1920030.

Almost surely, 2117120000 is an apocalyptic number.

117120000 is a gapful number since it is divisible by the number (10) 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 117120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198239668).

117120000 is an abundant number, since it is smaller than the sum of its proper divisors (279359336).

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

117120000 is an frugal number, since it uses more digits than its factorization.

117120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 117120000 is about 10822.1994067749. The cubic root of 117120000 is about 489.2644802772.

Adding to 117120000 its reverse (21711), we get a palindrome (117141711).

The spelling of 117120000 in words is "one hundred seventeen million, one hundred twenty thousand".