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116911540 = 225311011867
BaseRepresentation
bin1101111011111…
…10110110110100
322010222201111001
412331332312310
5214412132130
615333453044
72616505654
oct675766664
9263881431
10116911540
115aaa2409
12331a1184
131b2b5235
1411754364
15a3e56ca
hex6f7edb4

116911540 has 48 divisors (see below), whose sum is σ = 256080384. Its totient is φ = 44784000.

The previous prime is 116911537. The next prime is 116911573. The reversal of 116911540 is 45119611.

It is a junction number, because it is equal to n+sod(n) for n = 116911499 and 116911508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61687 + ... + 63553.

It is an arithmetic number, because the mean of its divisors is an integer number (5335008).

Almost surely, 2116911540 is an apocalyptic number.

116911540 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 116911540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128040192).

116911540 is an abundant number, since it is smaller than the sum of its proper divisors (139168844).

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

116911540 is a wasteful number, since it uses less digits than its factorization.

116911540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 116911540 is about 10812.5639882500. The cubic root of 116911540 is about 488.9740298992.

It can be divided in two parts, 11691 and 1540, that added together give a palindrome (13231).

The spelling of 116911540 in words is "one hundred sixteen million, nine hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 101 124 155 202 310 404 505 620 1010 1867 2020 3131 3734 6262 7468 9335 12524 15655 18670 31310 37340 57877 62620 115754 188567 231508 289385 377134 578770 754268 942835 1157540 1885670 3771340 5845577 11691154 23382308 29227885 58455770 116911540