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115403832 = 2333796763
BaseRepresentation
bin1101110000011…
…10110000111000
322001011010022000
412320032300320
5214020410312
615241301000
72600626215
oct670166070
9261133260
10115403832
115a162675
1232794760
131aba7bbb
1411480b0c
15a1e8adc
hex6e0ec38

115403832 has 64 divisors (see below), whose sum is σ = 324672000. Its totient is φ = 37975392.

The previous prime is 115403809. The next prime is 115403839. The reversal of 115403832 is 238304511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 115403796 and 115403805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115403839) 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 15 ways as a sum of consecutive naturals, for example, 13683 + ... + 20445.

It is an arithmetic number, because the mean of its divisors is an integer number (5073000).

Almost surely, 2115403832 is an apocalyptic number.

115403832 is a gapful number since it is divisible by the number (12) 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 115403832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162336000).

115403832 is an abundant number, since it is smaller than the sum of its proper divisors (209268168).

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

115403832 is a wasteful number, since it uses less digits than its factorization.

115403832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6847 counting only the distinct ones).

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

The square root of 115403832 is about 10742.6175581187. The cubic root of 115403832 is about 486.8629691186.

The spelling of 115403832 in words is "one hundred fifteen million, four hundred three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 4266 5688 6763 8532 13526 17064 20289 27052 40578 54104 60867 81156 121734 162312 182601 243468 365202 486936 534277 730404 1068554 1460808 1602831 2137108 3205662 4274216 4808493 6411324 9616986 12822648 14425479 19233972 28850958 38467944 57701916 115403832