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116881416 = 23325712843
BaseRepresentation
bin1101111011101…
…11100000001000
322010221012011100
412331313200020
5214410201131
615333101400
72616322101
oct675674010
9263835140
10116881416
115aa81813
1233187860
131b2a4602
14117473a8
15a3db7e6
hex6f77808

116881416 has 48 divisors (see below), whose sum is σ = 317219760. Its totient is φ = 38878560.

The previous prime is 116881403. The next prime is 116881417. The reversal of 116881416 is 614188611.

116881416 is a `hidden beast` number, since 1 + 168 + 81 + 416 = 666.

It is a super-2 number, since 2×1168814162 = 27322530812330112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116881417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39691 + ... + 42533.

It is an arithmetic number, because the mean of its divisors is an integer number (6608745).

Almost surely, 2116881416 is an apocalyptic number.

It is an amenable number.

116881416 is an abundant number, since it is smaller than the sum of its proper divisors (200338344).

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

116881416 is a wasteful number, since it uses less digits than its factorization.

116881416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3419 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 116881416 is about 10811.1708894088. The cubic root of 116881416 is about 488.9320291438.

The spelling of 116881416 in words is "one hundred sixteen million, eight hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 571 1142 1713 2284 2843 3426 4568 5139 5686 6852 8529 10278 11372 13704 17058 20556 22744 25587 34116 41112 51174 68232 102348 204696 1623353 3246706 4870059 6493412 9740118 12986824 14610177 19480236 29220354 38960472 58440708 116881416