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116678080 = 2652383191
BaseRepresentation
bin1101111010001…
…01110111000000
322010112212020101
412331011313000
5214332144310
615324452144
72614514221
oct675056700
9263485211
10116678080
115a952a72
12330aa054
131b232bac
14116d3248
15a39b43a
hex6f45dc0

116678080 has 112 divisors (see below), whose sum is σ = 294948864. Its totient is φ = 43873280.

The previous prime is 116678071. The next prime is 116678083. The reversal of 116678080 is 80876611.

It is a super-2 number, since 2×1166780802 = 27227548704972800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116678083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610785 + ... + 610975.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 2116678080 is an apocalyptic number.

116678080 is a gapful number since it is divisible by the number (10) 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 116678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

116678080 is an abundant number, since it is smaller than the sum of its proper divisors (178270784).

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

116678080 is a wasteful number, since it uses less digits than its factorization.

116678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 116678080 is about 10801.7628190958. The cubic root of 116678080 is about 488.6483365098.

The spelling of 116678080 in words is "one hundred sixteen million, six hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 160 166 184 191 230 320 332 368 382 415 460 664 736 764 830 920 955 1328 1472 1528 1660 1840 1909 1910 2656 3056 3320 3680 3818 3820 4393 5312 6112 6640 7360 7636 7640 8786 9545 12224 13280 15272 15280 15853 17572 19090 21965 26560 30544 30560 31706 35144 38180 43930 61088 61120 63412 70288 76360 79265 87860 122176 126824 140576 152720 158530 175720 253648 281152 305440 317060 351440 364619 507296 610880 634120 702880 729238 1014592 1268240 1405760 1458476 1823095 2536480 2916952 3646190 5072960 5833904 7292380 11667808 14584760 23335616 29169520 58339040 116678080