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116611072 = 21197587
BaseRepresentation
bin1101111001101…
…01100000000000
322010102110022121
412330311200000
5214323023242
615323214024
72614114654
oct674654000
9263373277
10116611072
115a907696
1233077314
131b20b546
14116b6a64
15a386667
hex6f35800

116611072 has 48 divisors (see below), whose sum is σ = 235970280. Its totient is φ = 57606144.

The previous prime is 116611067. The next prime is 116611097. The reversal of 116611072 is 270116611.

It is a happy number.

It is a super-2 number, since 2×1166110722 = 27196284225978368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198363 + ... + 198949.

Almost surely, 2116611072 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 116611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117985140).

116611072 is an abundant number, since it is smaller than the sum of its proper divisors (119359208).

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

116611072 is an frugal number, since it uses more digits than its factorization.

116611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 116611072 is about 10798.6606576927. The cubic root of 116611072 is about 488.5547753260.

Adding to 116611072 its reverse (270116611), we get a palindrome (386727683).

The spelling of 116611072 in words is "one hundred sixteen million, six hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 587 776 1024 1174 1552 2048 2348 3104 4696 6208 9392 12416 18784 24832 37568 49664 56939 75136 99328 113878 150272 198656 227756 300544 455512 601088 911024 1202176 1822048 3644096 7288192 14576384 29152768 58305536 116611072