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115204842 = 2351012347
BaseRepresentation
bin1101101110111…
…10001011101010
322000210000100000
412313132023222
5213443023332
615233123430
72566140114
oct667361352
9260700300
10115204842
115a037115
12326b9576
131ab3845c
141142c3b4
15a1a9b7c
hex6dde2ea

115204842 has 48 divisors (see below), whose sum is σ = 261529632. Its totient is φ = 38005200.

The previous prime is 115204841. The next prime is 115204883. The reversal of 115204842 is 248402511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115204841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47913 + ... + 50259.

It is an arithmetic number, because the mean of its divisors is an integer number (5448534).

Almost surely, 2115204842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115204842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130764816).

115204842 is an abundant number, since it is smaller than the sum of its proper divisors (146324790).

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

115204842 is a wasteful number, since it uses less digits than its factorization.

115204842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115204842 is about 10733.3518529861. The cubic root of 115204842 is about 486.5829766851.

The spelling of 115204842 in words is "one hundred fifteen million, two hundred four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2347 2727 4694 5454 7041 8181 14082 16362 21123 24543 42246 49086 63369 126738 190107 237047 380214 474094 570321 711141 1140642 1422282 2133423 4266846 6400269 12800538 19200807 38401614 57602421 115204842