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116928768 = 2831113841
BaseRepresentation
bin1101111100000…
…11000100000000
322011000121010010
412332003010000
5214413210033
615334104520
72616610125
oct676030400
9264017103
10116928768
1160004350
12331ab140
131b2c0028
141175a74c
15a3ea863
hex6f83100

116928768 has 72 divisors (see below), whose sum is σ = 339516576. Its totient is φ = 35430400.

The previous prime is 116928767. The next prime is 116928781. The reversal of 116928768 is 867829611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (116928767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 15368.

It is an arithmetic number, because the mean of its divisors is an integer number (4715508).

Almost surely, 2116928768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169758288).

116928768 is an abundant number, since it is smaller than the sum of its proper divisors (222587808).

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

116928768 is a wasteful number, since it uses less digits than its factorization.

116928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13857 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 116928768 is about 10813.3606247087. The cubic root of 116928768 is about 488.9980470061.

The spelling of 116928768 in words is "one hundred sixteen million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 13841 27682 41523 55364 83046 110728 152251 166092 221456 304502 332184 442912 456753 609004 664368 885824 913506 1218008 1328736 1771648 1827012 2436016 2657472 3543296 3654024 4872032 5314944 7308048 9744064 10629888 14616096 19488128 29232192 38976256 58464384 116928768