Search a number
-
+
116533200 = 24352713873
BaseRepresentation
bin1101111001000…
…10011111010000
322010021111111110
412330202133100
5214313030300
615321413320
72613341640
oct674423720
9263244443
10116533200
115a864133
123303a240
131b1b1c74
1411696520
15a36d550
hex6f227d0

116533200 has 120 divisors (see below), whose sum is σ = 426653248. Its totient is φ = 26634240.

The previous prime is 116533199. The next prime is 116533217. The reversal of 116533200 is 2335611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464 + ... + 15336.

Almost surely, 2116533200 is an apocalyptic number.

116533200 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 116533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213326624).

116533200 is an abundant number, since it is smaller than the sum of its proper divisors (310120048).

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

116533200 is a wasteful number, since it uses less digits than its factorization.

116533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13901 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 116533200 is about 10795.0544232070. The cubic root of 116533200 is about 488.4460000367.

Adding to 116533200 its reverse (2335611), we get a palindrome (118868811).

The spelling of 116533200 in words is "one hundred sixteen million, five hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13873 27746 41619 55492 69365 83238 97111 110984 138730 166476 194222 208095 221968 277460 291333 332952 346825 388444 416190 485555 554920 582666 665904 693650 776888 832380 971110 1040475 1109840 1165332 1387300 1456665 1553776 1664760 1942220 2080950 2330664 2427775 2774600 2913330 3329520 3884440 4161900 4661328 4855550 5549200 5826660 7283325 7768880 8323800 9711100 11653320 14566650 16647600 19422200 23306640 29133300 38844400 58266600 116533200