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116264260 = 22572314389
BaseRepresentation
bin1101110111000…
…00110101000100
322002202211120201
412323200311010
5214230424020
615311540244
72611141600
oct673406504
9262684521
10116264260
115a6a0072
1232b2a684
131b119728
1411626500
15a318a0a
hex6ee0d44

116264260 has 144 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 37255680.

The previous prime is 116264251. The next prime is 116264299. The reversal of 116264260 is 62462611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1306296 + ... + 1306384.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 2116264260 is an apocalyptic number.

116264260 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 116264260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

116264260 is an abundant number, since it is smaller than the sum of its proper divisors (187103420).

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

116264260 is a wasteful number, since it uses less digits than its factorization.

116264260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 116264260 is about 10782.5905978109. The cubic root of 116264260 is about 488.0699588407.

The spelling of 116264260 in words is "one hundred sixteen million, two hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 43 49 62 70 86 89 98 124 140 155 172 178 196 215 217 245 301 310 356 430 434 445 490 602 620 623 860 868 890 980 1085 1204 1246 1333 1505 1519 1780 2107 2170 2492 2666 2759 3010 3038 3115 3827 4214 4340 4361 5332 5518 6020 6076 6230 6665 7595 7654 8428 8722 9331 10535 11036 12460 13330 13795 15190 15308 17444 18662 19135 19313 21070 21805 26660 26789 27590 30380 37324 38270 38626 42140 43610 46655 53578 55180 65317 76540 77252 87220 93310 96565 107156 118637 130634 133945 135191 186620 187523 193130 237274 261268 267890 270382 326585 375046 386260 474548 535780 540764 593185 653170 675955 750092 830459 937615 1186370 1306340 1351910 1660918 1875230 2372740 2703820 3321836 3750460 4152295 5813213 8304590 11626426 16609180 23252852 29066065 58132130 116264260