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115613442 = 23272196899
BaseRepresentation
bin1101110010000…
…01111100000010
322001112202211100
412321001330002
5214044112232
615245555230
72602461300
oct671017402
9261482740
10115613442
115a2960aa
1232875b16
131ac4c429
14114d7270
15a23ac7c
hex6e41f02

115613442 has 72 divisors (see below), whose sum is σ = 306774000. Its totient is φ = 31289328.

The previous prime is 115613383. The next prime is 115613453. The reversal of 115613442 is 244316511.

It is a happy number.

115613442 is a `hidden beast` number, since 1 + 1 + 5 + 613 + 4 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13309 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (4260750).

Almost surely, 2115613442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115613442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153387000).

115613442 is an abundant number, since it is smaller than the sum of its proper divisors (191160558).

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

115613442 is a wasteful number, since it uses less digits than its factorization.

115613442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6930 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115613442 is about 10752.3691342885. The cubic root of 115613442 is about 487.1575567465.

Adding to 115613442 its reverse (244316511), we get a palindrome (359929953).

The spelling of 115613442 in words is "one hundred fifteen million, six hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 6899 8379 13798 16758 20697 41394 48293 62091 96586 124182 131081 144879 262162 289758 338051 393243 434637 676102 786486 869274 917567 1014153 1179729 1835134 2028306 2359458 2752701 3042459 5505402 6084918 6422969 8258103 12845938 16516206 19268907 38537814 57806721 115613442