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116134368 = 2537473677
BaseRepresentation
bin1101110110000…
…01000111100000
322002112020101220
412323001013200
5214212244433
615305055040
72610061110
oct673010740
9262466356
10116134368
115a611519
1232a87480
131b0a257c
14115d1040
15a2e02b3
hex6ec11e0

116134368 has 96 divisors (see below), whose sum is σ = 355912704. Its totient is φ = 32466432.

The previous prime is 116134363. The next prime is 116134391. The reversal of 116134368 is 863431611.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116134363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29746 + ... + 33422.

It is an arithmetic number, because the mean of its divisors is an integer number (3707424).

Almost surely, 2116134368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177956352).

116134368 is an abundant number, since it is smaller than the sum of its proper divisors (239778336).

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

116134368 is a wasteful number, since it uses less digits than its factorization.

116134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 116134368 is about 10776.5656867111. The cubic root of 116134368 is about 487.8881316628. Note that the first 3 decimals are identical.

Adding to 116134368 its reverse (863431611), we get a palindrome (979565979).

The spelling of 116134368 in words is "one hundred sixteen million, one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3677 3948 4512 5264 7354 7896 10528 11031 14708 15792 22062 25739 29416 31584 44124 51478 58832 77217 88248 102956 117664 154434 172819 176496 205912 308868 345638 352992 411824 518457 617736 691276 823648 1036914 1209733 1235472 1382552 2073828 2419466 2470944 2765104 3629199 4147656 4838932 5530208 7258398 8295312 9677864 14516796 16590624 19355728 29033592 38711456 58067184 116134368