Search a number
-
+
116729856 = 211332111
BaseRepresentation
bin1101111010100…
…10100000000000
322010122111021000
412331102200000
5214340323411
615325532000
72615121165
oct675224000
9263574230
10116729856
115a988961
1233114000
131b250629
141170806c
15a3ab956
hex6f52800

116729856 has 96 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 38891520.

The previous prime is 116729839. The next prime is 116729867. The reversal of 116729856 is 658927611.

It is a tau number, because it is divible by the number of its divisors (96).

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, 54241 + ... + 56351.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2116729856 is an apocalyptic number.

116729856 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 116729856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

116729856 is an abundant number, since it is smaller than the sum of its proper divisors (229215744).

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

116729856 is an equidigital number, since it uses as much as digits as its factorization.

116729856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2116 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 116729856 is about 10804.1591991233. The cubic root of 116729856 is about 488.7206051966.

It can be divided in two parts, 11672 and 9856, that added together give a triangular number (21528 = T207).

The spelling of 116729856 in words is "one hundred sixteen million, seven hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2111 2304 3072 3456 4222 4608 6144 6333 6912 8444 9216 12666 13824 16888 18432 18999 25332 27648 33776 37998 50664 55296 56997 67552 75996 101328 113994 135104 151992 202656 227988 270208 303984 405312 455976 540416 607968 810624 911952 1080832 1215936 1621248 1823904 2161664 2431872 3242496 3647808 4323328 4863744 6484992 7295616 9727488 12969984 14591232 19454976 29182464 38909952 58364928 116729856