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116436441 = 3115979757
BaseRepresentation
bin1101111000010…
…10110111011001
322010002120202210
412330022313121
5214301431231
615315345333
72612456562
oct674126731
9263076683
10116436441
115a7a8470
1232bb2249
131b179c04
141166d169
15a34ea46
hex6f0add9

116436441 has 32 divisors (see below), whose sum is σ = 174643200. Its totient is φ = 68402880.

The previous prime is 116436413. The next prime is 116436469. The reversal of 116436441 is 144634611.

It is an interprime number because it is at equal distance from previous prime (116436413) and next prime (116436469).

It is not a de Polignac number, because 116436441 - 26 = 116436377 is a prime.

It is a super-4 number, since 4×1164364414 (a number of 33 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116436399 and 116436408.

It is not an unprimeable number, because it can be changed into a prime (116436401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153435 + ... + 154191.

It is an arithmetic number, because the mean of its divisors is an integer number (5457600).

Almost surely, 2116436441 is an apocalyptic number.

116436441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116436441 is a deficient number, since it is larger than the sum of its proper divisors (58206759).

116436441 is a wasteful number, since it uses less digits than its factorization.

116436441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909.

The product of its digits is 6912, while the sum is 30.

The square root of 116436441 is about 10790.5718569499. The cubic root of 116436441 is about 488.3107749587.

The spelling of 116436441 in words is "one hundred sixteen million, four hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 11 33 59 79 177 237 649 757 869 1947 2271 2607 4661 8327 13983 24981 44663 51271 59803 133989 153813 179409 491293 657833 1473879 1973499 3528377 10585131 38812147 116436441