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115097216 = 27132632
BaseRepresentation
bin1101101110000…
…11111010000000
322000120112200212
412313003322000
5213431102331
615230533252
72565211253
oct667037200
9260515625
10115097216
1159a73273
1232667228
131aacb480
141140109a
15a187d2b
hex6dc3e80

115097216 has 48 divisors (see below), whose sum is σ = 247875810. Its totient is φ = 52919808.

The previous prime is 115097207. The next prime is 115097237. The reversal of 115097216 is 612790511.

It can be written as a sum of positive squares in only one way, i.e., 110670400 + 4426816 = 10520^2 + 2104^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 437501 + ... + 437763.

Almost surely, 2115097216 is an apocalyptic number.

115097216 is a gapful number since it is divisible by the number (16) 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 115097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123937905).

115097216 is an abundant number, since it is smaller than the sum of its proper divisors (132778594).

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

115097216 is an frugal number, since it uses more digits than its factorization.

115097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 115097216 is about 10728.3370565992. The cubic root of 115097216 is about 486.4314052322.

The spelling of 115097216 in words is "one hundred fifteen million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 263 416 526 832 1052 1664 2104 3419 4208 6838 8416 13676 16832 27352 33664 54704 69169 109408 138338 218816 276676 437632 553352 899197 1106704 1798394 2213408 3596788 4426816 7193576 8853632 14387152 28774304 57548608 115097216