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115328268 = 2232111791627
BaseRepresentation
bin1101101111111…
…00010100001100
322001000021122100
412313330110030
5214011001033
615235515100
72600163006
oct667742414
9261007570
10115328268
115a110920
1232758a90
131ab7c6a3
1411461376
15a1d1513
hex6dfc50c

115328268 has 72 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 34731360.

The previous prime is 115328267. The next prime is 115328281. The reversal of 115328268 is 862823511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115328263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70071 + ... + 71697.

It is an arithmetic number, because the mean of its divisors is an integer number (4444440).

Almost surely, 2115328268 is an apocalyptic number.

115328268 is a gapful number since it is divisible by the number (18) 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 115328268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

115328268 is an abundant number, since it is smaller than the sum of its proper divisors (204671412).

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

115328268 is a wasteful number, since it uses less digits than its factorization.

115328268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 115328268 is about 10739.0999622873. The cubic root of 115328268 is about 486.7566833761.

The spelling of 115328268 in words is "one hundred fifteen million, three hundred twenty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 179 198 358 396 537 716 1074 1611 1627 1969 2148 3222 3254 3938 4881 5907 6444 6508 7876 9762 11814 14643 17721 17897 19524 23628 29286 35442 35794 53691 58572 70884 71588 107382 161073 214764 291233 322146 582466 644292 873699 1164932 1747398 2621097 3203563 3494796 5242194 6407126 9610689 10484388 12814252 19221378 28832067 38442756 57664134 115328268