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116723700 = 223352172543
BaseRepresentation
bin1101111010100…
…00111111110100
322010122011211000
412331100333310
5214340124300
615325443300
72615064222
oct675207764
9263564730
10116723700
115a984275
1233110530
131b24a8a2
1411705b12
15a3a9c00
hex6f50ff4

116723700 has 144 divisors (see below), whose sum is σ = 397474560. Its totient is φ = 29283840.

The previous prime is 116723699. The next prime is 116723713. The reversal of 116723700 is 7327611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44629 + ... + 47171.

It is an arithmetic number, because the mean of its divisors is an integer number (2760240).

Almost surely, 2116723700 is an apocalyptic number.

116723700 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 116723700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198737280).

116723700 is an abundant number, since it is smaller than the sum of its proper divisors (280750860).

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

116723700 is a wasteful number, since it uses less digits than its factorization.

116723700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 116723700 is about 10803.8743050815. The cubic root of 116723700 is about 488.7120138015.

The spelling of 116723700 in words is "one hundred sixteen million, seven hundred twenty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2543 2550 2700 3060 3825 4590 5086 5100 7629 7650 9180 10172 11475 12715 15258 15300 22887 22950 25430 30516 38145 43231 45774 45900 50860 63575 68661 76290 86462 91548 114435 127150 129693 137322 152580 172924 190725 216155 228870 254300 259386 274644 343305 381450 389079 432310 457740 518772 572175 648465 686610 762900 778158 864620 1080775 1144350 1167237 1296930 1373220 1556316 1716525 1945395 2161550 2288700 2334474 2593860 3242325 3433050 3890790 4323100 4668948 5836185 6484650 6866100 7781580 9726975 11672370 12969300 19453950 23344740 29180925 38907900 58361850 116723700