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115162240 = 2751031747
BaseRepresentation
bin1101101110100…
…11110010000000
322000200211220011
412313103302000
5213440142430
615232154304
72565601654
oct667236200
9260624804
10115162240
115a008106
1232698994
131ab21c4b
141141aa64
15a19c22a
hex6dd3c80

115162240 has 64 divisors (see below), whose sum is σ = 278141760. Its totient is φ = 45591552.

The previous prime is 115162237. The next prime is 115162247. The reversal of 115162240 is 42261511.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (115162247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65047 + ... + 66793.

It is an arithmetic number, because the mean of its divisors is an integer number (4345965).

Almost surely, 2115162240 is an apocalyptic number.

115162240 is a gapful number since it is divisible by the number (10) 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 115162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139070880).

115162240 is an abundant number, since it is smaller than the sum of its proper divisors (162979520).

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

115162240 is a wasteful number, since it uses less digits than its factorization.

115162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 115162240 is about 10731.3671076895. The cubic root of 115162240 is about 486.5229908855.

The spelling of 115162240 in words is "one hundred fifteen million, one hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 320 412 515 640 824 1030 1648 1747 2060 3296 3494 4120 6592 6988 8240 8735 13184 13976 16480 17470 27952 32960 34940 55904 65920 69880 111808 139760 179941 223616 279520 359882 559040 719764 899705 1118080 1439528 1799410 2879056 3598820 5758112 7197640 11516224 14395280 23032448 28790560 57581120 115162240