[go: up one dir, main page]

Search a number
-
+
117287040 = 27351337127
BaseRepresentation
bin1101111110110…
…10100010000000
322011200210120110
412333122202000
5220011141130
615345511320
72622631503
oct677324200
9264623513
10117287040
1160229542
1233342540
131b3b7120
141181113a
15a46bab0
hex6fda880

117287040 has 256 divisors, whose sum is σ = 416747520. Its totient is φ = 27869184.

The previous prime is 117287017. The next prime is 117287059. The reversal of 117287040 is 40782711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117286989 and 117287007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 923457 + ... + 923583.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2117287040 is an apocalyptic number.

117287040 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 117287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208373760).

117287040 is an abundant number, since it is smaller than the sum of its proper divisors (299460480).

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

117287040 is a wasteful number, since it uses less digits than its factorization.

117287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 117287040 is about 10829.9141270834. The cubic root of 117287040 is about 489.4969709303.

The spelling of 117287040 in words is "one hundred seventeen million, two hundred eighty-seven thousand, forty".