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116643324 = 22373171667
BaseRepresentation
bin1101111001111…
…01010111111100
322010111002120010
412330331113330
5214330041244
615324023220
72614311000
oct674752774
9263432503
10116643324
115a929946
1233091b10
131b220125
14116c4700
15a390eb9
hex6f3d5fc

116643324 has 96 divisors (see below), whose sum is σ = 336268800. Its totient is φ = 31347456.

The previous prime is 116643323. The next prime is 116643343. The reversal of 116643324 is 423346611.

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

It is a junction number, because it is equal to n+sod(n) for n = 116643291 and 116643300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116643323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69139 + ... + 70805.

It is an arithmetic number, because the mean of its divisors is an integer number (3502800).

Almost surely, 2116643324 is an apocalyptic number.

116643324 is a gapful number since it is divisible by the number (14) 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 116643324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168134400).

116643324 is an abundant number, since it is smaller than the sum of its proper divisors (219625476).

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

116643324 is a wasteful number, since it uses less digits than its factorization.

116643324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1696 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 116643324 is about 10800.1538877925. The cubic root of 116643324 is about 488.5998122620.

Adding to 116643324 its reverse (423346611), we get a palindrome (539989935).

The spelling of 116643324 in words is "one hundred sixteen million, six hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 343 357 476 588 686 714 833 1029 1372 1428 1666 1667 2058 2499 3332 3334 4116 4998 5001 5831 6668 9996 10002 11662 11669 17493 20004 23324 23338 28339 34986 35007 46676 56678 69972 70014 81683 85017 113356 140028 163366 170034 198373 245049 326732 340068 396746 490098 571781 595119 793492 980196 1143562 1190238 1388611 1715343 2287124 2380476 2777222 3430686 4165833 5554444 6861372 8331666 9720277 16663332 19440554 29160831 38881108 58321662 116643324