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115611040 = 2551993631
BaseRepresentation
bin1101110010000…
…01010110100000
322001112122112101
412321001112200
5214044023130
615245540144
72602451266
oct671012640
9261478471
10115611040
115a294316
1232874654
131ac4b2cc
14114d6436
15a23a1ca
hex6e415a0

115611040 has 48 divisors (see below), whose sum is σ = 274579200. Its totient is φ = 45999360.

The previous prime is 115611017. The next prime is 115611077. The reversal of 115611040 is 40116511.

It is a junction number, because it is equal to n+sod(n) for n = 115610999 and 115611017.

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 7 ways as a sum of consecutive naturals, for example, 30025 + ... + 33655.

It is an arithmetic number, because the mean of its divisors is an integer number (5720400).

Almost surely, 2115611040 is an apocalyptic number.

115611040 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 115611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137289600).

115611040 is an abundant number, since it is smaller than the sum of its proper divisors (158968160).

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

115611040 is a wasteful number, since it uses less digits than its factorization.

115611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 115611040 is about 10752.2574373943. The cubic root of 115611040 is about 487.1541829734.

Adding to 115611040 its reverse (40116511), we get a palindrome (155727551).

The spelling of 115611040 in words is "one hundred fifteen million, six hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3631 3980 6368 7262 7960 14524 15920 18155 29048 31840 36310 58096 72620 116192 145240 290480 580960 722569 1445138 2890276 3612845 5780552 7225690 11561104 14451380 23122208 28902760 57805520 115611040