Search a number
-
+
116344080 = 2433561883
BaseRepresentation
bin1101110111101…
…00010100010000
322002220220002000
412323310110100
5214241002310
615313354000
72611623366
oct673642420
9262826060
10116344080
115a745036
1232b68900
131b146b68
1411647636
15a3324c0
hex6ef4510

116344080 has 160 divisors (see below), whose sum is σ = 407771520. Its totient is φ = 30481920.

The previous prime is 116344061. The next prime is 116344127. The reversal of 116344080 is 80443611.

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

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 31 ways as a sum of consecutive naturals, for example, 131319 + ... + 132201.

It is an arithmetic number, because the mean of its divisors is an integer number (2548572).

Almost surely, 2116344080 is an apocalyptic number.

116344080 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 116344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885760).

116344080 is an abundant number, since it is smaller than the sum of its proper divisors (291427440).

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

116344080 is a wasteful number, since it uses less digits than its factorization.

116344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116344080 is about 10786.2912996080. The cubic root of 116344080 is about 488.1816263820.

Adding to 116344080 its reverse (80443611), we get a palindrome (196787691).

The spelling of 116344080 in words is "one hundred sixteen million, three hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 883 915 976 1080 1098 1220 1464 1647 1766 1830 2160 2196 2440 2649 2745 2928 3294 3532 3660 4392 4415 4880 5298 5490 6588 7064 7320 7947 8235 8784 8830 10596 10980 13176 13245 14128 14640 15894 16470 17660 21192 21960 23841 26352 26490 31788 32940 35320 39735 42384 43920 47682 52980 53863 63576 65880 70640 79470 95364 105960 107726 119205 127152 131760 158940 161589 190728 211920 215452 238410 269315 317880 323178 381456 430904 476820 484767 538630 635760 646356 807945 861808 953640 969534 1077260 1292712 1454301 1615890 1907280 1939068 2154520 2423835 2585424 2908602 3231780 3878136 4309040 4847670 5817204 6463560 7271505 7756272 9695340 11634408 12927120 14543010 19390680 23268816 29086020 38781360 58172040 116344080