Search a number
-
+
117440000 = 2954367
BaseRepresentation
bin1101111111111…
…11111000000000
322011222120101122
412333333320000
5220031040000
615353051412
72624136446
oct677777000
9264876348
10117440000
1160323457
12333b6b68
131b43b932
1411850b96
15a49c085
hex6fffe00

117440000 has 100 divisors (see below), whose sum is σ = 294018384. Its totient is φ = 46848000.

The previous prime is 117439999. The next prime is 117440003. The reversal of 117440000 is 44711.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117440003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319817 + ... + 320183.

Almost surely, 2117440000 is an apocalyptic number.

117440000 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 117440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147009192).

117440000 is an abundant number, since it is smaller than the sum of its proper divisors (176578384).

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

117440000 is an frugal number, since it uses more digits than its factorization.

117440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 117440000 is about 10836.9737473153. The cubic root of 117440000 is about 489.7096711328.

Adding to 117440000 its reverse (44711), we get a palindrome (117484711).

The spelling of 117440000 in words is "one hundred seventeen million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 367 400 500 512 625 640 734 800 1000 1250 1280 1468 1600 1835 2000 2500 2560 2936 3200 3670 4000 5000 5872 6400 7340 8000 9175 10000 11744 12800 14680 16000 18350 20000 23488 29360 32000 36700 40000 45875 46976 58720 64000 73400 80000 91750 93952 117440 146800 160000 183500 187904 229375 234880 293600 320000 367000 458750 469760 587200 734000 917500 939520 1174400 1468000 1835000 2348800 2936000 3670000 4697600 5872000 7340000 11744000 14680000 23488000 29360000 58720000 117440000