Search a number
-
+
116406780 = 22357475897
BaseRepresentation
bin1101111000000…
…11100111111100
322010001002002020
412330003213330
5214300004110
615315000140
72612304240
oct674034774
9263032066
10116406780
115a788156
1232b99050
131b169569
1411662420
15a345d70
hex6f039fc

116406780 has 96 divisors (see below), whose sum is σ = 380491776. Its totient is φ = 26036736.

The previous prime is 116406761. The next prime is 116406781. The reversal of 116406780 is 87604611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116406781) 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, 16792 + ... + 22688.

It is an arithmetic number, because the mean of its divisors is an integer number (3963456).

Almost surely, 2116406780 is an apocalyptic number.

116406780 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 116406780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190245888).

116406780 is an abundant number, since it is smaller than the sum of its proper divisors (264084996).

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

116406780 is a wasteful number, since it uses less digits than its factorization.

116406780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 116406780 is about 10789.1973751526. The cubic root of 116406780 is about 488.2693073683.

The spelling of 116406780 in words is "one hundred sixteen million, four hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 5897 6580 9870 11794 17691 19740 23588 29485 35382 41279 58970 70764 82558 88455 117940 123837 165116 176910 206395 247674 277159 353820 412790 495348 554318 619185 825580 831477 1108636 1238370 1385795 1662954 1940113 2476740 2771590 3325908 3880226 4157385 5543180 5820339 7760452 8314770 9700565 11640678 16629540 19401130 23281356 29101695 38802260 58203390 116406780