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116853216 = 2531577753
BaseRepresentation
bin1101111011100…
…00100111100000
322010212202110220
412331300213200
5214403300331
615332323040
72616143634
oct675604740
9263782426
10116853216
115aa62607
1233173480
131b29481c
141173adc4
15a3d3296
hex6f709e0

116853216 has 48 divisors (see below), whose sum is σ = 308733264. Its totient is φ = 38697984.

The previous prime is 116853203. The next prime is 116853241. The reversal of 116853216 is 612358611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11196 + ... + 18948.

It is an arithmetic number, because the mean of its divisors is an integer number (6431943).

Almost surely, 2116853216 is an apocalyptic number.

116853216 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 116853216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154366632).

116853216 is an abundant number, since it is smaller than the sum of its proper divisors (191880048).

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

116853216 is a wasteful number, since it uses less digits than its factorization.

116853216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923 (or 7915 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 116853216 is about 10809.8666041723. The cubic root of 116853216 is about 488.8927044085.

The spelling of 116853216 in words is "one hundred sixteen million, eight hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 7753 15072 15506 23259 31012 46518 62024 93036 124048 186072 248096 372144 744288 1217221 2434442 3651663 4868884 7303326 9737768 14606652 19475536 29213304 38951072 58426608 116853216