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117280440 = 23335312113
BaseRepresentation
bin1101111110110…
…00111010111000
322011200110112000
412333120322320
5220010433230
615345421000
72622603324
oct677307270
9264613460
10117280440
1160224592
123333a760
131b3b4114
141180c984
15a469b60
hex6fd8eb8

117280440 has 192 divisors, whose sum is σ = 407527200. Its totient is φ = 29998080.

The previous prime is 117280439. The next prime is 117280441. The reversal of 117280440 is 44082711.

It is an interprime number because it is at equal distance from previous prime (117280439) and next prime (117280441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117280441) 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 47 ways as a sum of consecutive naturals, for example, 1037824 + ... + 1037936.

Almost surely, 2117280440 is an apocalyptic number.

117280440 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 117280440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203763600).

117280440 is an abundant number, since it is smaller than the sum of its proper divisors (290246760).

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

117280440 is a wasteful number, since it uses less digits than its factorization.

117280440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 117280440 is about 10829.6094112392. The cubic root of 117280440 is about 489.4877890672.

The spelling of 117280440 in words is "one hundred seventeen million, two hundred eighty thousand, four hundred forty".