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116302272 = 2634314087
BaseRepresentation
bin1101110111010…
…10000111000000
322002211202201120
412323222013000
5214233133042
615312432240
72611360452
oct673520700
9262752646
10116302272
115a716689
1232b48680
131b130b18
14116362d2
15a324dec
hex6eea1c0

116302272 has 56 divisors (see below), whose sum is σ = 314894976. Its totient is φ = 37863168.

The previous prime is 116302271. The next prime is 116302313. The reversal of 116302272 is 272203611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116302271) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1213 + ... + 15299.

Almost surely, 2116302272 is an apocalyptic number.

116302272 is a gapful number since it is divisible by the number (12) 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 116302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157447488).

116302272 is an abundant number, since it is smaller than the sum of its proper divisors (198592704).

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

116302272 is a wasteful number, since it uses less digits than its factorization.

116302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14145 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 116302272 is about 10784.3531099459. The cubic root of 116302272 is about 488.1231436967.

Adding to 116302272 its reverse (272203611), we get a palindrome (388505883).

The spelling of 116302272 in words is "one hundred sixteen million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 14087 28174 42261 56348 84522 112696 169044 225392 338088 450784 605741 676176 901568 1211482 1352352 1817223 2422964 2704704 3634446 4845928 7268892 9691856 14537784 19383712 29075568 38767424 58151136 116302272