Search a number
-
+
116248680 = 23325973329
BaseRepresentation
bin1101110110111…
…01000001101000
322002202001012200
412323131001220
5214224424210
615311340200
72611045302
oct673350150
9262661180
10116248680
115a68a399
1232b21660
131b112602
1411620972
15a3140c0
hex6edd068

116248680 has 96 divisors (see below), whose sum is σ = 381817800. Its totient is φ = 30670848.

The previous prime is 116248679. The next prime is 116248681. The reversal of 116248680 is 86842611.

It is an interprime number because it is at equal distance from previous prime (116248679) and next prime (116248681).

It can be written as a sum of positive squares in 4 ways, for example, as 85045284 + 31203396 = 9222^2 + 5586^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116248681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33256 + ... + 36584.

Almost surely, 2116248680 is an apocalyptic number.

116248680 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 116248680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190908900).

116248680 is an abundant number, since it is smaller than the sum of its proper divisors (265569120).

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

116248680 is a wasteful number, since it uses less digits than its factorization.

116248680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 116248680 is about 10781.8681127159. The cubic root of 116248680 is about 488.0481565842.

The spelling of 116248680 in words is "one hundred sixteen million, two hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3329 3492 3880 4365 5820 6658 6984 8730 9987 11640 13316 16645 17460 19974 26632 29961 33290 34920 39948 49935 59922 66580 79896 99870 119844 133160 149805 199740 239688 299610 322913 399480 599220 645826 968739 1198440 1291652 1614565 1937478 2583304 2906217 3229130 3874956 4843695 5812434 6458260 7749912 9687390 11624868 12916520 14531085 19374780 23249736 29062170 38749560 58124340 116248680