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116278480 = 24519227337
BaseRepresentation
bin1101110111001…
…00010011010000
322002210120002101
412323210103100
5214231402410
615312130144
72611231213
oct673442320
9262716071
10116278480
115a6aa81a
1232b36954
131b123046
141162b77a
15a31cd3a
hex6ee44d0

116278480 has 80 divisors (see below), whose sum is σ = 286678080. Its totient is φ = 43739136.

The previous prime is 116278471. The next prime is 116278483. The reversal of 116278480 is 84872611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1162784802 = 27041369822220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116278483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344872 + ... + 345208.

It is an arithmetic number, because the mean of its divisors is an integer number (3583476).

Almost surely, 2116278480 is an apocalyptic number.

116278480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116278480 is the 5392-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143339040).

116278480 is an abundant number, since it is smaller than the sum of its proper divisors (170399600).

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

116278480 is a wasteful number, since it uses less digits than its factorization.

116278480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 116278480 is about 10783.2499739179. The cubic root of 116278480 is about 488.0898562477.

The spelling of 116278480 in words is "one hundred sixteen million, two hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 227 304 337 380 454 674 760 908 1135 1348 1520 1685 1816 2270 2696 3370 3632 4313 4540 5392 6403 6740 8626 9080 12806 13480 17252 18160 21565 25612 26960 32015 34504 43130 51224 64030 69008 76499 86260 102448 128060 152998 172520 256120 305996 345040 382495 512240 611992 764990 1223984 1453481 1529980 2906962 3059960 5813924 6119920 7267405 11627848 14534810 23255696 29069620 58139240 116278480