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119416 = 23112359
BaseRepresentation
bin11101001001111000
320001210211
4131021320
512310131
62320504
71005103
oct351170
9201724
10119416
11817a0
1259134
134247b
143173a
15255b1
hex1d278

119416 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 51040.

The previous prime is 119389. The next prime is 119417. The reversal of 119416 is 614911.

119416 = T93 + T94 + ... + T114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119417) by changing a digit.

119416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1995 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2119416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

119416 is an abundant number, since it is smaller than the sum of its proper divisors (139784).

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

119416 is a wasteful number, since it uses less digits than its factorization.

119416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 119416 is about 345.5662020511. The cubic root of 119416 is about 49.2440964520.

It can be divided in two parts, 119 and 416, that added together give a palindrome (535).

The spelling of 119416 in words is "one hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 59 88 92 118 184 236 253 472 506 649 1012 1298 1357 2024 2596 2714 5192 5428 10856 14927 29854 59708 119416