Search a number
-
+
116273760 = 2535298353
BaseRepresentation
bin1101110111000…
…11001001100000
322002210022121120
412323203021200
5214231230020
615312052240
72611211361
oct673431140
9262708546
10116273760
115a6a7219
1232b34080
131b120b55
1411629b68
15a31b740
hex6ee3260

116273760 has 96 divisors (see below), whose sum is σ = 378937440. Its totient is φ = 29933568.

The previous prime is 116273737. The next prime is 116273791. The reversal of 116273760 is 67372611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9744 + ... + 18096.

It is an arithmetic number, because the mean of its divisors is an integer number (3947265).

Almost surely, 2116273760 is an apocalyptic number.

116273760 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 116273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189468720).

116273760 is an abundant number, since it is smaller than the sum of its proper divisors (262663680).

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

116273760 is a wasteful number, since it uses less digits than its factorization.

116273760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8400 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 116273760 is about 10783.0311137453. The cubic root of 116273760 is about 488.0832519436.

The spelling of 116273760 in words is "one hundred sixteen million, two hundred seventy-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 8353 13920 16706 25059 33412 41765 50118 66824 83530 100236 125295 133648 167060 200472 242237 250590 267296 334120 400944 484474 501180 668240 726711 801888 968948 1002360 1211185 1336480 1453422 1937896 2004720 2422370 2906844 3633555 3875792 4009440 4844740 5813688 7267110 7751584 9689480 11627376 14534220 19378960 23254752 29068440 38757920 58136880 116273760