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116546340 = 223543199227
BaseRepresentation
bin1101111001001…
…01101100100100
322010022011112010
412330211230210
5214313440330
615321554220
72613425151
oct674455444
9263264463
10116546340
115a872a99
1233045970
131b1b7c41
141169b228
15a3723b0
hex6f25b24

116546340 has 96 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 30070656.

The previous prime is 116546333. The next prime is 116546347. The reversal of 116546340 is 43645611.

It is an interprime number because it is at equal distance from previous prime (116546333) and next prime (116546347).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116546298 and 116546307.

It is not an unprimeable number, because it can be changed into a prime (116546347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513307 + ... + 513533.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2116546340 is an apocalyptic number.

116546340 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 116546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

116546340 is an abundant number, since it is smaller than the sum of its proper divisors (220528860).

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

116546340 is a wasteful number, since it uses less digits than its factorization.

116546340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 116546340 is about 10795.6630180828. The cubic root of 116546340 is about 488.4643580074.

It can be divided in two parts, 116546 and 340, that added together give a triangular number (116886 = T483).

The spelling of 116546340 in words is "one hundred sixteen million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 199 215 227 258 398 430 454 516 597 645 681 796 860 908 995 1135 1194 1290 1362 1990 2270 2388 2580 2724 2985 3405 3980 4540 5970 6810 8557 9761 11940 13620 17114 19522 25671 29283 34228 39044 42785 45173 48805 51342 58566 85570 90346 97610 102684 117132 128355 135519 146415 171140 180692 195220 225865 256710 271038 292830 451730 513420 542076 585660 677595 903460 1355190 1942439 2710380 3884878 5827317 7769756 9712195 11654634 19424390 23309268 29136585 38848780 58273170 116546340