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116732896 = 2572109683
BaseRepresentation
bin1101111010100…
…11001111100000
322010122122102121
412331103033200
5214340423041
615325554024
72615133100
oct675231740
9263578377
10116732896
115a990175
1233115914
131b251b27
1411709200
15a3ac7d1
hex6f533e0

116732896 has 72 divisors (see below), whose sum is σ = 270186840. Its totient is φ = 49496832.

The previous prime is 116732893. The next prime is 116732909. The reversal of 116732896 is 698237611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116732893) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170571 + ... + 171253.

It is an arithmetic number, because the mean of its divisors is an integer number (3752595).

Almost surely, 2116732896 is an apocalyptic number.

116732896 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 116732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135093420).

116732896 is an abundant number, since it is smaller than the sum of its proper divisors (153453944).

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

116732896 is a wasteful number, since it uses less digits than its factorization.

116732896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 801 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 116732896 is about 10804.2998847681. The cubic root of 116732896 is about 488.7248477494.

The spelling of 116732896 in words is "one hundred sixteen million, seven hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 109 112 196 218 224 392 436 683 763 784 872 1366 1526 1568 1744 2732 3052 3488 4781 5341 5464 6104 9562 10682 10928 12208 19124 21364 21856 24416 33467 38248 42728 66934 74447 76496 85456 133868 148894 152992 170912 267736 297788 521129 535472 595576 1042258 1070944 1191152 2084516 2382304 3647903 4169032 7295806 8338064 14591612 16676128 29183224 58366448 116732896