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116065300 = 2252131937127
BaseRepresentation
bin1101110101100…
…00010000010100
322002101201122211
412322300100110
5214203042200
615303403204
72606352541
oct672602024
9262351584
10116065300
115a57463a
1232a53504
131b079cc0
14115b3bc8
15a2c9aba
hex6eb0414

116065300 has 144 divisors (see below), whose sum is σ = 295536640. Its totient is φ = 39191040.

The previous prime is 116065223. The next prime is 116065321. The reversal of 116065300 is 3560611.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 913837 + ... + 913963.

Almost surely, 2116065300 is an apocalyptic number.

116065300 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 116065300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147768320).

116065300 is an abundant number, since it is smaller than the sum of its proper divisors (179471340).

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

116065300 is a wasteful number, since it uses less digits than its factorization.

116065300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 116065300 is about 10773.3606641568. The cubic root of 116065300 is about 487.7913927431.

The spelling of 116065300 in words is "one hundred sixteen million, sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 37 38 50 52 65 74 76 95 100 127 130 148 185 190 247 254 260 325 370 380 475 481 494 508 635 650 703 740 925 950 962 988 1235 1270 1300 1406 1651 1850 1900 1924 2405 2413 2470 2540 2812 3175 3302 3515 3700 4699 4810 4826 4940 6175 6350 6604 7030 8255 9139 9398 9620 9652 12025 12065 12350 12700 14060 16510 17575 18278 18796 23495 24050 24130 24700 31369 33020 35150 36556 41275 45695 46990 48100 48260 60325 61087 62738 70300 82550 89281 91390 93980 117475 120650 122174 125476 156845 165100 178562 182780 228475 234950 241300 244348 305435 313690 357124 446405 456950 469900 610870 627380 784225 892810 913900 1160653 1221740 1527175 1568450 1785620 2232025 2321306 3054350 3136900 4464050 4642612 5803265 6108700 8928100 11606530 23213060 29016325 58032650 116065300