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115835096 = 23131931261
BaseRepresentation
bin1101110011110…
…00000011011000
322001222000212202
412321320003120
5214123210341
615254425332
72604403436
oct671700330
9261860782
10115835096
115a427693
1232962248
131acc92a0
1411553d56
15a28179b
hex6e780d8

115835096 has 96 divisors (see below), whose sum is σ = 258577200. Its totient is φ = 48211200.

The previous prime is 115835089. The next prime is 115835099. The reversal of 115835096 is 690538511.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115835099) 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 23 ways as a sum of consecutive naturals, for example, 1898906 + ... + 1898966.

Almost surely, 2115835096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115835096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129288600).

115835096 is an abundant number, since it is smaller than the sum of its proper divisors (142742104).

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

115835096 is a wasteful number, since it uses less digits than its factorization.

115835096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 115835096 is about 10762.6714155919. The cubic root of 115835096 is about 487.4686840283.

The spelling of 115835096 in words is "one hundred fifteen million, eight hundred thirty-five thousand, ninety-six".

Divisors: 1 2 4 8 13 19 26 31 38 52 61 62 76 104 122 124 152 244 247 248 403 488 494 589 793 806 961 988 1159 1178 1586 1612 1891 1922 1976 2318 2356 3172 3224 3782 3844 4636 4712 6344 7564 7657 7688 9272 12493 15067 15128 15314 18259 24583 24986 30134 30628 35929 36518 49166 49972 58621 60268 61256 71858 73036 98332 99944 117242 120536 143716 146072 196664 234484 237367 287432 467077 468968 474734 762073 934154 949468 1113799 1524146 1868308 1898936 2227598 3048292 3736616 4455196 6096584 8910392 14479387 28958774 57917548 115835096