[go: up one dir, main page]

Search a number
-
+
117591040 = 2105717193
BaseRepresentation
bin1110000001001…
…00110000000000
322012021020120201
413000210300000
5220100403130
615400214544
72625336010
oct700446000
9265236521
10117591040
1160416986
123346a454
131b4925c8
141188dc40
15a4cbbca
hex7024c00

117591040 has 176 divisors, whose sum is σ = 343109952. Its totient is φ = 37748736.

The previous prime is 117591037. The next prime is 117591043. The reversal of 117591040 is 40195711.

It is an interprime number because it is at equal distance from previous prime (117591037) and next prime (117591043).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117591043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609184 + ... + 609376.

Almost surely, 2117591040 is an apocalyptic number.

117591040 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 117591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171554976).

117591040 is an abundant number, since it is smaller than the sum of its proper divisors (225518912).

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

117591040 is a wasteful number, since it uses less digits than its factorization.

117591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 117591040 is about 10843.9402432880. The cubic root of 117591040 is about 489.9195203101.

The spelling of 117591040 in words is "one hundred seventeen million, five hundred ninety-one thousand, forty".