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116019200 = 2125211103
BaseRepresentation
bin1101110101001…
…01000000000000
322002022101102102
412322211000000
5214200103300
615302405532
72606101253
oct672450000
9262271372
10116019200
115a542a40
1232a308a8
131b06201b
14115a109a
15a2bb0d5
hex6ea5000

116019200 has 156 divisors (see below), whose sum is σ = 316893408. Its totient is φ = 41779200.

The previous prime is 116019181. The next prime is 116019223. The reversal of 116019200 is 2910611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126349 + ... + 1126451.

It is an arithmetic number, because the mean of its divisors is an integer number (2031368).

Almost surely, 2116019200 is an apocalyptic number.

116019200 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 116019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158446704).

116019200 is an abundant number, since it is smaller than the sum of its proper divisors (200874208).

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

116019200 is a wasteful number, since it uses less digits than its factorization.

116019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 116019200 is about 10771.2209150124. The cubic root of 116019200 is about 487.7268022034.

Adding to 116019200 its reverse (2910611), we get a palindrome (118929811).

The spelling of 116019200 in words is "one hundred sixteen million, nineteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 103 110 128 160 176 200 206 220 256 275 320 352 400 412 440 512 515 550 640 704 800 824 880 1024 1030 1100 1133 1280 1408 1600 1648 1760 2048 2060 2200 2266 2560 2575 2816 3200 3296 3520 4096 4120 4400 4532 5120 5150 5632 5665 6400 6592 7040 8240 8800 9064 10240 10300 11264 11330 12800 13184 14080 16480 17600 18128 20480 20600 22528 22660 25600 26368 28160 28325 32960 35200 36256 41200 45056 45320 51200 52736 56320 56650 65920 70400 72512 82400 90640 102400 105472 112640 113300 131840 140800 145024 164800 181280 210944 225280 226600 263680 281600 290048 329600 362560 421888 453200 527360 563200 580096 659200 725120 906400 1054720 1126400 1160192 1318400 1450240 1812800 2109440 2320384 2636800 2900480 3625600 4640768 5273600 5800960 7251200 10547200 11601920 14502400 23203840 29004800 58009600 116019200