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116345856 = 2103112313
BaseRepresentation
bin1101110111101…
…00110000000000
322002220222111210
412323310300000
5214241031411
615313410120
72611631514
oct673646000
9262828453
10116345856
115a746400
1232b69940
131b147903
1411648144
15a332ca6
hex6ef4c00

116345856 has 132 divisors (see below), whose sum is σ = 341947256. Its totient is φ = 35143680.

The previous prime is 116345851. The next prime is 116345857. The reversal of 116345856 is 658543611.

It is a tau number, because it is divible by the number of its divisors (132).

It is not an unprimeable number, because it can be changed into a prime (116345851) 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, 371556 + ... + 371868.

Almost surely, 2116345856 is an apocalyptic number.

116345856 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 116345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170973628).

116345856 is an abundant number, since it is smaller than the sum of its proper divisors (225601400).

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

116345856 is a wasteful number, since it uses less digits than its factorization.

116345856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 116345856 is about 10786.3736260154. The cubic root of 116345856 is about 488.1841104109.

The spelling of 116345856 in words is "one hundred sixteen million, three hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 313 352 363 384 484 512 528 626 704 726 768 939 968 1024 1056 1252 1408 1452 1536 1878 1936 2112 2504 2816 2904 3072 3443 3756 3872 4224 5008 5632 5808 6886 7512 7744 8448 10016 10329 11264 11616 13772 15024 15488 16896 20032 20658 23232 27544 30048 30976 33792 37873 40064 41316 46464 55088 60096 61952 75746 80128 82632 92928 110176 113619 120192 123904 151492 160256 165264 185856 220352 227238 240384 302984 320512 330528 371712 440704 454476 480768 605968 661056 881408 908952 961536 1211936 1322112 1762816 1817904 2423872 2644224 3525632 3635808 4847744 5288448 7271616 9695488 10576896 14543232 19390976 29086464 38781952 58172928 116345856