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116001888 = 2538913577
BaseRepresentation
bin1101110101000…
…00110001100000
322002021111200020
412322200301200
5214144030023
615302153440
72605666632
oct672406140
9262244606
10116001888
115a530a32
1232a22880
131b057192
1411598a52
15a2b5de3
hex6ea0c60

116001888 has 48 divisors (see below), whose sum is σ = 307949040. Its totient is φ = 38230016.

The previous prime is 116001883. The next prime is 116001889. The reversal of 116001888 is 888100611.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116001883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1756 + ... + 15332.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2116001888 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 116001888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153974520).

116001888 is an abundant number, since it is smaller than the sum of its proper divisors (191947152).

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

116001888 is a wasteful number, since it uses less digits than its factorization.

116001888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13679 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 116001888 is about 10770.4172621120. The cubic root of 116001888 is about 487.7025420051.

The spelling of 116001888 in words is "one hundred sixteen million, one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 13577 27154 40731 54308 81462 108616 162924 217232 325848 434464 651696 1208353 1303392 2416706 3625059 4833412 7250118 9666824 14500236 19333648 29000472 38667296 58000944 116001888