Search a number
-
+
116901456 = 24372232161
BaseRepresentation
bin1101111011111…
…00011001010000
322010222012122120
412331330121100
5214411321311
615333334240
72616434400
oct675743120
9263865576
10116901456
115aa95881
1233197380
131b2b0779
1411750800
15a3e2706
hex6f7c650

116901456 has 120 divisors (see below), whose sum is σ = 366744384. Its totient is φ = 31933440.

The previous prime is 116901443. The next prime is 116901457. The reversal of 116901456 is 654109611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116901457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53016 + ... + 55176.

Almost surely, 2116901456 is an apocalyptic number.

116901456 is a gapful number since it is divisible by the number (16) 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 116901456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183372192).

116901456 is an abundant number, since it is smaller than the sum of its proper divisors (249842928).

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

116901456 is a wasteful number, since it uses less digits than its factorization.

116901456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 116901456 is about 10812.0976688152. The cubic root of 116901456 is about 488.9599709623.

The spelling of 116901456 in words is "one hundred sixteen million, nine hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2161 2254 2352 2576 3381 3864 4322 4508 6483 6762 7728 8644 9016 12966 13524 15127 17288 18032 25932 27048 30254 34576 45381 49703 51864 54096 60508 90762 99406 103728 105889 121016 149109 181524 198812 211778 242032 298218 317667 347921 363048 397624 423556 596436 635334 695842 726096 795248 847112 1043763 1192872 1270668 1391684 1694224 2087526 2385744 2435447 2541336 2783368 4175052 4870894 5082672 5566736 7306341 8350104 9741788 14612682 16700208 19483576 29225364 38967152 58450728 116901456